Question

a rectangle has a length that is 4 times longer than it's width. If the total area of the rectangle is 121 square feet, what is the length (longer side) of the rectangle​

Answer 1

22

Explanation:

Width - x

Length - 4x

Area=x*4x=4x²

Area=121

4x²=121

x²=121/4

x=√(121/4)=√(11²/2²)=11/2 - width

Length = 4x=4*(11/2)=22

Answer 2

L = 22 ft

Explanation:

Let L and W represent the length and width respectively.

L = 4W, or W = L/4. Use W = L/4 because we want to solve for W, not for L.

Area of a rectangle: A = L · W

Here, A = L · L/4 = 121 ft²

Mult. both terms by 4 removes the fraction:

L² = 484

Finding the square root of this result: L = 22

The length of the rect. is 22 ft.