JAMB Mathematics 2023 Paper

Let the length of the longer side = x cm

∴ The length of the shorter side = (x - 6) cm

If we increase each side's length by 2 cm, it becomes

(x + 2) cm and (x - 4) cm respectively

Area of a rectangle = L x B

A1=x(x−6)=x2−6x

A2=(x+2)(x−4)=x2−4x+2x−8=x2−2x−8

A1+68=A2 (Given)

⇒ x2−6x+68=x2−2x−8

⇒ x2−x2−6x+2x = -8 - 68

⇒ -4x = -76

⇒ x =

∴ The length of the shorter side = x - 6 = 19 - 6 = 13 cm