Question

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (see figure). Find the dimensions of the floor.

Length= ? Ft
Width= ? Ft

Answer 1

9514 1404 393

Answer:

• length: 29 ft
• width: 20 ft

Explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

the length is 29 feet; the width is 20 feet.