Question

A lawn is in the shape of a right angled triangle. the lengths of the 2 shorter sides are

(x+2) meters and (4x+4) meters while the length of the hypotenuse is (5x) meters. form and solve an equation in x and find the area of the lawn in metres squared

Answer 1

x=5 ; Area= 84m²

Explanation:

(x+2)²+(4x+2)²=(5x)²

x²+4+4x+16x²+16+32x=25x²

8x²-36x-20x=0

x=5;x=-1

hypotenuse should be positive

x=5

area=lxb/2