Parallelograms - ISEE Middle Level Math

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Question

Find the area of the following parallelogram:

Note: The formula for the area of a parallelogram is $A=b\times h$ .

Answer

The base of the parallelogram is 10, while the height is 5.

$A=b\times h$

$A=10\times5=50: in^2$

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Question

Find the area:

Answer

The area of a parallelogram can be determined using the following equation:

$\small A=bh$

Therefore,

$\small A=8\times3=24$

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Question

You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?

Answer

The area of a parallelogram is found by computing . In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is .

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Question

If a parallelogram has side lengths of and , what is the area?

Answer

To find the area of a parallelogram, you use the formula,

.

Since the height in this problem is not known, you cannot solve for area.

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Question

Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.

Answer

To find the area of a parallelogram, we will use the following formula:

$\text{area of a parallelogram} = b \cdot h$

where b is the base and h is the height of the parallelogram.

Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches. Knowing this, we can substitute into the formula. We get

$\text{area of a parallelogram} = 6\text{in} \cdot 9\text{in}$

$\text{area of a parallelogram} = 54\text{in}^2$

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Question

Find the area of the parallelogram with a base length of 6 and a height of 15.

Answer

Write the area formula of a parallelogram.

Substitute the dimensions into the formula.

The answer is:

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Question

Note: Figure NOT drawn to scale.

$a = 18; \textrm{in} ,b=26; \textrm{in},h=12; \textrm{in}$ , where and represent side lengths of the parallelogram and represents the height.

Find the perimeter of the parallelogram in the diagram.

Answer

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

.

Note that the height is irrelevant to the answer.

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Question

Find the perimeter of the parallelogram.

Answer

To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.

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Question

If the perimter of a parallelogram is and one of the sides is , what is the other side length?

Answer

The perimeter of a parallelogram is found by adding up all four sides.

Since there are two pairs of side with equal lengths, two sides must have a length of .

So the perimeter would be

or .

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .

So $20\div2=10$ .

That means the other side length would be .

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Question

If a parallelogram has side lengths of and , what is the perimeter?

Answer

The perimeter of a parallelogram is two times the two side lengths and add them together.

$\P=s_1+s_2+s_3+s_4 \s_1=s_3 \s_2=s_4 \P=s_a+s_a+s_b+s_b \P=2s_a+2s_b$

Therefore, this particular problem becomes as follows.

and

so

.

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