Question

question 6 of 10 (1 point) | question attempt: 1 of unlimited
76 ft
92 ft
(a) use the calculator to find the area and perimeter of the court.
make sure to include the correct units.
area:
perimeter:
(b) the court will have a wood floor.
which measure would be used in finding the amount of wood needed?
○ perimeter ○ area
(c) a strip of tape will be placed around the court.
which measure would be used in finding the amount of tape needed?
○ perimeter ○ area
check

Explanation:

Part (a)

The figure is a rectangle with length \( l = 92\) ft and width \( w = 76\) ft.

Step 1: Calculate the Area of the Rectangle

The formula for the area \( A \) of a rectangle is \( A = l \times w \).
Substitute \( l = 92\) ft and \( w = 76\) ft into the formula:
\( A = 92 \times 76 \)
\( A = 6992\) square feet.

Step 2: Calculate the Perimeter of the Rectangle

The formula for the perimeter \( P \) of a rectangle is \( P = 2(l + w) \).
Substitute \( l = 92\) ft and \( w = 76\) ft into the formula:
\( P = 2(92 + 76) \)
First, calculate the sum inside the parentheses: \( 92 + 76 = 168 \)
Then, multiply by 2: \( P = 2 \times 168 = 336\) feet.

Part (b)

To find the amount of wood needed to cover the floor, we need to find the area of the floor because the wood will cover the surface area of the court. The perimeter is the distance around the court and does not represent the surface area. So the measure used is Area.

Part (c)

To find the amount of tape needed to place around the court, we need to find the perimeter of the court because the tape will go around the boundary (perimeter) of the court. The area is the surface inside the court and is not relevant for the length of tape around it. So the measure used is Perimeter.

Answer:

s:
(a)

• Area: \( \boldsymbol{6992}\) square feet
• Perimeter: \( \boldsymbol{336}\) feet

(b) Area

(c) Perimeter