Find the length and width.

Question

A rectangular table is five times as long as it is wide. The area is 180ft² , find the length and width of the table.

Answer 1

Let width = x

Let length = 5x

Area = 180 ft²

 

The area of a rectangle is

 

length × width

 

 

Set up an equation using this information.

 

x(5x) = 180

5x² = 180

 

Divide both sides of equation by 5.

 

x² = 36

 

Square-root both sides of equation to undo the exponent.

 

x = √(36)

x = 6

 

 

Substitute this value of x into the dimensions.

 

width = 6  ft

length = 30 ft