Question

(a) use the calculator to find the area and perimeter of the field. make sure to include the correct units. area: perimeter: (b) the field will be covered by artificial turf. which measure would be used in finding the amount of turf needed? perimeter area (c) omar will walk around the field. which measure would be used in finding how long it will take? perimeter area

Explanation:

Step1: Calculate the Area of the Rectangle

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is the length and \( w \) is the width. Here, \( l = 78 \) yd and \( w = 29 \) yd. So, \( A = 78 \times 29 \). Calculating that, \( 78 \times 29 = 2262 \). The unit for area is square yards, so the area is \( 2262 \) yd².

Step2: Calculate the Perimeter of the Rectangle

The formula for the perimeter of a rectangle is \( P = 2(l + w) \). Substituting \( l = 78 \) yd and \( w = 29 \) yd, we get \( P = 2(78 + 29) \). First, calculate the sum inside the parentheses: \( 78 + 29 = 107 \). Then multiply by 2: \( 2 \times 107 = 214 \). The unit for perimeter is yards, so the perimeter is \( 214 \) yd.

Step3: Determine the Measure for Turf (Part b)

To find the amount of turf needed to cover the field, we need to know the area of the field because turf covers the surface area. So the measure used is Area.

Step4: Determine the Measure for Walking Around (Part c)

To find how long it will take Omar to walk around the field, we need to know the distance around the field, which is the perimeter. So the measure used is Perimeter.

Answer:

(a) Area: \( 2262 \) yd²; Perimeter: \( 214 \) yd
(b) Area
(c) Perimeter