Question

9.

The dimensions of a rectangle are x cm and (x + 9 )cm. If the area of the rectangle is 52 cm?,
calculate the only possible value of x.

Answer 1

Answer 4

width = 4

Length = 13

Explanation:

Givens

Length = x + 9

width = x

Area = 52

Equation

Area = L * W

Area = x (x + 9 ) = 52

Solution

x (x + 9) = 52 remove the brackets

x^2 + 9x = 52 Subtract 52 from both sides

x^2 + 9x - 52 = 0 Factor

(x + 13)(x - 4) = 0

x + 13 is an extraneous solution. You cannot have a length or width of - 13 or minus anything for that matter.

x - 4 = 0 Add 4 to both sides

x = 4 This is the only possible solution.