Nadia drew a design for a copper wire sculpture as shown above. She plans to make a wire frame that includes the perimeter of the square and the circumference of the circle. She has 5 feet of copper wire. Does she have enough wire for the sculpture?

She does not have enough wire.

Step-by-step explanation:

The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.

She has in possession a 5 ft of copper to construct a circle inscribe in a square.

The square is 9 inch length.

Perimeter of the square = 4L

where

L = length

Perimeter of the square = 4 × 9

Perimeter of the square = 36 inches

Circumference of a circle = 2πr

r = diameter/2 = 9/2 = 4.5 inches

Circumference of a circle = 2 × π × 4.5

Circumference of a circle = 2 × 4.5 × 3.14

Circumference of a circle = 9 × 3.14

Circumference of a circle = 28.26 inches.

The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.

She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.

12 inches = 1 foot

64.26 inches = ?

cross multiply

wire required for the sculpture = 64.26/12

wire required for the sculpture = 5.355 ft

She does not have enough wire.