Question

A rectangle has a perimeter of 30 feet and an area of 50 square feet. What are the dimensions of the rectangle?

Answer 1

5 ft x 10 ft.

(2) 5ft + (2) 10ft = 30 ft.

5 x 10 = 50 sq ft

Answer 2

Perimeter of rectangle = 2L + 2W
Area = L x W
L x W = 50
2L + 2W = 30
There's a quick way to determine this. Find the factors of 50 as a product.
2 x 25, 5 x 10.
We can use these factors as sides (dimensions).
2x2 + 2x25 = 4 + 50 = 54, incorrect factors.
2x5 + 2x10 = 10 + 20 = 30, correct.
Your dimensions are 5 and 10.