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McGraw Hill Glencoe Geometry, 2012 View details

6. Two-Dimensional Figures

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Exercise 17 Page 62

Use the formulas for perimeter and area of a rectangle.

Perimeter: 7.8m
Area: 3.1m^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. 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 diagram, we know that l is equal to 2.8m and w is equal to 1.1m. Substituting these values into the formula, we can calculate P.

P=2l+2w

SubstituteII

l= 2.8, w= 1.1

P=2( 2.8) + 2( 1.1)

Multiply

P=5.6+2.2

AddTerms

Add terms

P=7.8

The rectangle's perimeter is 7.8m.

Area

Let's recall the formula for the area of a rectangle. A=l * w We will substitute the given values, l= 2.8 and w= 1.1, into the formula to calculate A.

A=l * w

SubstituteII

l= 2.8, w= 1.1

A= 2.8 * 1.1

Multiply

A=3.08

RoundDec

Round to 1 decimal place(s)

A ≈ 3.1

The area of the rectangle is 3.1 m^2.