Question

Tom's property has a shape of a parallelogram with the dimensions of l= x +75 and w= x + 45. If the perimeter is 300 feet, what is the value of x

Answer 1

15 feets

Explanation:

The perimeter of a parallelogram is given as :

P = 2(l + w)

l and w are the bases :

Substituting the values into the equation :

P = 2(x + 75 + x + 45)

P = 2(2x + 120)

P = 300

Hence ;

300 = 4x + 240

300 - 240 = 4x

60 = 4x

Divide both sides by 4 to isolate x

60 /4 = 4x / 4

15 = x

x = 15 feets