Question

Translate this problem to an equation and solve.
A hallway has an area of 63 square feet. The length of the hallway is 7 times longer than the width. What is the length of the hallway? @johnweldon1993

Answer 1

Remember the area is length times width...so that is feet squared

the length is 7 times longer than the width

L = 7w

and the area = L times W

so we have

A = L x W

We know Area so

63 = L x W

we now know that L = 7W so we can substitute that in for 'L'

63 = 7W x W

63 = 7W²

Divide both sides by 7

9 = W²

and take the square root of both sides

3 = W

Now we know that Length is 7 times that width...so

L = 7W
W = 3

L = 7(3)

L = 21 feet

Answer 2

And we can check just to make sure

63 square feet = 3 feet x 21 feet

63 square feet = 63 feet x feet

remember feet x feet is feet squared or square feet!

63 square feet = 63 square feet...so it is correct