Question

The area of a rectangle is 56 cm, Tho longth is 2 cm more than x and the width is 5 cm less than

twico x. Solve for x. Round to the nearest whole number,

Answer 1

9

Explanation:

Since Area = L × W

Thus,

Area = (x + 2)(2x - 5) = 56

x^2 +4x - 5x - 10 = 56

x^2 - x - 10 = 56

x^2 - x - 66

Using the quadratic formula:

a = 1

b = - 1

c = - 66

Solving:

`(x = (-b) +/- sqrt(b^2 - 4ac))/(2a)`

`(x = 1 + /- sqrt(1^2 - 4(1)(-66))/(2(1))`

`(1 +/- sqrt (265))/(2)`

17.279/2

8.639

Round = 9

~Lenvy~