A rectangular retaining wall has an area of 15square feet. The height of the wall is two feet less than its length. Find the height and the length of the wall.
Accepted Solution
A:
Answer:The height of wall is 3 feet and length of wall is 5 feetStep-by-step explanation:Given as :The Area of retaining wall = 15 square feet Let The width of wall = W feetThe Height of wall = ( W - 2 ) feetNow, Area of Rectangle = Height widthOr , 15 ft² = ( W - 2 ) ft × W ftOr, 15 = W² - 2 W Or, W² - 2 W - 15 = 0Or, W² - 5 W + 3 W - 15 = 0Or, W ( W - 5 ) + 3 ( W - 5 ) = 0So , ( W - 5 ) ( W + 3 ) = 0So, W = 5 , - 3∴ The width of wall = W = 5 feetAnd The Height of wall = ( W - 2 ) = 5 - 2 = 3 feetHence The height of wall is 3 feet and length of wall is 5 feet. Answer