Question

A rectangle table is two times as long as it is wide. If the area is 50ft^2. Find the length and width of the table.

Answer 1

Width = 5 ft
Length = 2 * 10 ft

Answer 2

Width = 5

Length = 2*5 = 10

Explanation:

Givens

Let the width = W = x

Let the length = L = 2x

Equation

Area = L * W

Solution

Area = 2W * W Substitute into the given equation

Area = 2W^2 Simplify the right

50 = 2W^2 Divide by 2

50/2 = 2W^2 / 2 Simplify

25 = W^2 Switch

W^2 = 25 Take the square root of both sides

sqrt(w^2) = sqrt(25)

Answers

w = 5 ft

L = 2 * 5 = 10 ft