Question

Huan has a rectangular garden. The length of the garden is x feet. The width of the garden is 4 feet less than the length. The area of the garden is 21 square feet. Write the equation to represent the area of the garden in terms of x. Find the length and width of the garden.

Answer 1

Explanation:

Let length of the garden be- x

From the given information,

width=x-4

Area of the rectangular garden = 21

or, length*breadth=21

or, x(x-4)=21

x^2-4x-21=0

or, x=7,-3

Length cannot be -3, hence we are considering x=7

Therefore, length=7 and breadth= 3