Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Using Midpoint and Distance Formulas
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Exercise 47 Page 402

Use the formulas for perimeter and area of a rectangle.

Perimeter: 26ft
Area: 30ft^2

Practice makes perfect

Let's calculate the perimeter and area separately.

Perimeter

In general, the perimeter of a figure is the sum of its side lengths. In this case, we have a rectangle. A rectangle has two pairs of equal sides, so we can find its perimeter using the following formula. P=2l+2wIn this formula, l is the length and w is the width. From the picture, we know that l is equal to 10ft, and w is equal to 3ft.
P=2l +2w
P=2( 10)+2( 3)
P=20+6
P=26
The rectangle's perimeter is 26 feet.

Area

To find the area of the rectangle, we will use the formula for calculating the area of a rectangle. A=l * w We will substitute the given measurements, l=10ft and w=3ft, into the formula to calculate A.
A=l* w
A= 10* 3
A=30
The area of the rectangle is 30ft^2.