Question

Justin has 100 feet of fence to make a rectangular dog pen. What dimensions of the rectangle will provide the largest pen for the dog?

A. 20 ft by 30 ft
B. 25 ft by 25 ft
C. 35 ft by 15 ft
D. 40 ft by 10 ft

Answer 1

u have to go by the area
A = LW

A = (20)(30) = 600 ft^2
A = (25)(25) = 625 ft^2
A = (35)(15) = 525 ft^2
A = (40)(10) = 400 ft^2

I believe it would be the : 25 ft by 25 ft

Answer 2

B) 25 ft by 25 ft

Explanation:

To find the largest area, we need to check with each dimensions

Area of a rectangle = length * width

A = (20)(30) = 600 ft^2

A = (25)(25) = 625 ft^2

A = (35)(15) = 525 ft^2

A = (40)(10) = 400 ft^2

The dimension 25 by 25 gives us the maximum area and perimeter of 100 feet.

Therefore, answer is B) 25 ft by 25 ft

Hope this will helpful.

Thank you.