Question

A rectangular retaining wall has an area of

Answer 1

Answer:

The height of wall is 3 feet and length of wall is 5 feet

Step-by-step explanation:

Given as :

The Area of retaining wall = 15 square feet

Let The width of wall = W feet

The Height of wall = ( W - 2 ) feet

Now, Area of Rectangle = Height  width

Or , 15 ft² = ( W - 2 ) ft × W ft

Or,  15 = W² - 2 W

Or,   W² - 2 W - 15 = 0

Or,  W² - 5 W + 3 W - 15 = 0

Or, W ( W - 5 ) + 3 ( W - 5 ) = 0

So , ( W - 5 ) ( W + 3 ) = 0

So, W = 5 , - 3

∴ The width of wall = W = 5 feet

And The Height of wall = ( W - 2 ) = 5 - 2 = 3  feet

Hence The height of wall is 3 feet and length of wall is 5 feet. Answer