Quadrilaterals - ISEE Lower Level (grades 5-6) Mathematics Achievement

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Question

Find the area of the parallelogram:

Answer

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Question

What is the area of the parallelogram ABCD?

Answer

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

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Question

What is the area of parallelogram ABCD?

Answer

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

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Question

A parallelogram measures along its base and is high. Calculate the area.

Answer

The formula to calucate a parallelogram's area is:

$A = B \times H$

You calculate the parallelogram's area by multiplying its base by its height. Therefore, $A = 4 cm \times 7 cm$

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Question

A parallelogram measures along its base and is high. Calculate the area.

Answer

The formula to calucate a parallelogram's area is:

$A = B\times H$

You calculate the parallelogram's area by multiplying its base by its height. Therefore, $A = 6 cm \times 9 cm$

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Question

Find the area of a parallelogram whose height is and base is .

Answer

To solve, simply use the formula for the area of a parallelogram. Thus,

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Question

What is the area of a parallelogram if the base is , the other side is , and the height is ?

Answer

The area of a parallelogram is so the answer would be .

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Question

Find the area of the given parallelogram:

Answer

Find the area of the given parallelogram:

To find the area of a parallelogram, simply do the following:

Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12mi and our base is 144 miles.

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Question

Find the area of the given parallelogram:

Answer

Find the area of the given parallelogram:

To find the area of a parallelogram, simply use the following formula for area of a parallelogram:

Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12 mi and our base is 144 mi.

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Question

What is the total surface area of the enclosed region?

Answer

First, we must find the missing lengths. Because we know that the length going horizontally across on the bottom is 6 cm and 8 cm, that must mean that the length going across at the top must also equal this sum.

So, the length of the top must equal

6 + 8 =

We are given one value of the length on the top, 4. To find the missing horizontal length on the top, we must subtract 4 from 14.

14 – 4 = 10.

In order to find the other missing length, we must observe that the greatest vertical length of this figure is 12 cm. Because we are given 4 cm and 5 cm, we must subtract 4 and 5 from 12 to find the other missing length.

12 – 4 – 5 =

Now, let's divide this enclosed region in three separate rectangles.

The rectangle at the top has a length of 4 cm and width of 3 cm.

The middle rectangle has a length of

10 + 4 =

14 cm

and a width of 5 cm.

The bottom rectangle has a length of 8 cm and width of 4 cm.

If the formula for the area of a rectangle is length x width, we must now calculate the individual areas of each rectangle and add them up.

Area of top rectangle

4 x 3 = 12cm2

Area of middle rectangle

14 x 5 = 70cm2

Area of bottom rectangle

8 x 4 = 32cm2

12cm2 + 32cm2 + 70cm2 =

114cm2

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Question

Robert needs to determine the area of his rectangular wall in order to buy the proper amount of paint at the store. When he measures his wall he determines that it is 12 feet high and 20 feet wide. If one can of paint covers 40 square feet of wall, how many cans of paint does Robert need?

Answer

Find the area of the wall - $\dpi{100} 12\times 20=240$

Divide $\dpi{100} 240\div 40=6$

6 cans of paint.

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Question

If Bailey is making a quilt for a bed that measures feet wide and feet long, and she wants there to be an extra foot of quilt to hang over each side of the bed, how much material should she buy.

Answer

In order to determine how much material Bailey needs, we must first find the area of space she needs to cover. Since Bailey would like the quilt to be an extra foot on each side, we must add feet to both the length and width.

Width

Length

Now we apply the formula for the area of a rectangle, which is $L\times W$ .

$10\cdot 8= 80 ft^{2}$

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Question

Mr. Barker is building a rectangular fence. His yard has an area of 24 feet, and the one side of the fence he's already built is 6 feet long.

What is the length of the other side (the width) of the fence?

Answer

The answer is 4 feet, because $area=width\times length$

and a rectangle must have 4 sides, with 2 sides of one length and 2 sides of another.

$6\times 4=24$ feet

making the other side 4 feet,

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Question

Give the area of the rectangle in the above diagram.

Answer

Multiply the length by the width to get the area of the rectangle:

$18 \times 11 = 198$

The area of the rectangle is 198 square inches.

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Question

Which could be the dimensions of a rectangle with the area $36\textup{ cm}^{2}$ ?

Answer

To find the area, simply multiply the sides of the rectangle. The only sides which add up to are:

$3 \textup{ cm}\times 12 \textup{ cm}$

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Question

Mr. Smith is planting a rectangular garden with a length of 5 ft and a width of 7 ft. What is the area of the garden?

Answer

The area of a rectangle can be calculated by multiplying the length by the width.

$A=l\times w=5: ft\times7: ft=35: ft^2$

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Question

Give the area of the above rectangle in square centimeters.

Answer

Since 1 meter = 100 centimeters, multiply each dimension by 100 to convert meters to centimeters. This makes the dimensions 200 centimeters by 500 centimeters.

Use the area formula, substituting :

$A = 500 \times 200 = 100,000 \textrm{ cm}^{2}$

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Question

What is the area of a rectangle with a length of $\small 5$ feet and a width of $\small 25$ feet?

Answer

To find the area of a rectangle, multiply the length by the width.

$\small 5\times25=125$

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Question

Sally's room measures 100 square feet. Which type of measurement is this?

Answer

Area is measured in units squared, and volume is measured in units cubed. Width, length, and perimeter are all measured in regular units.

Therefore, 100 square feet is the area of the room.

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Question

Joe has a rectangular poster that is 3 feet long and 2 feet wide. What is the area of the poster?

Answer

The area of a rectangle is found by multiping the length times the width. Given that the length is 3 feet, the width is 2 feet, the total cubic area would be found using this equation:

$\text{length}\times \text{width} = \text{area}$

Here is the equation with the appropriate numbers plugged in from the question:

$3\ \text{ft}\times2\ \text{ft}=6\ \text{ft}^2$

6 square feet, or $6\ \text{ft}^2$ is the correct answer.

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