How to find the perimeter of a rectangle - SAT Math

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Question

A rectangular garden has an area of . Its length is meters longer than its width. How much fencing is needed to enclose the garden?

Answer

We define the variables as and .

We substitute these values into the equation for the area of a rectangle and get .

or

Lengths cannot be negative, so the only correct answer is . If , then .

Therefore, .

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Question

A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?

Answer

Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.

P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)

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Question

Find the perimeter of a rectangle with width 7 and length 9.

Answer

To solve, simply use the formula for the perimeter of a rectangle.

Substitute in the width of seven and the length of nine.

Thus,

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Question

Find the perimeter of a rectangle whose side lengths are 1 and 2.

Answer

To solve, simply use the formula for the perimeter of a rectangle. Thus,

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Question

Find the perimeter of a rectangle with width 6 and length 9.

Answer

To solve, simply use the formula for the perimeter.

Another way to solve this problem is to add up all of the sides. Remember that even though only two values are given, a rectangle has 4 sides. Thus,

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Question

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the perimeter of the poster?

Answer

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the perimeter of the poster?

Perimeter of a rectangle is found via:

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Question

Three of the vertices of a rectangle on the coordinate plane are located at the origin, , and . Give the perimeter of the rectangle.

Answer

The rectangle in question is below:

Rectangle 3

The lengths of the rectangle is 10, the distance from the origin to ; its width is 7, the distance from the origin to . The perimeter of a rectangle is equal to twice the sum of its length and width, so calculate:

.

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