Question

AB = (x+5)cm, CD= (3x -1)cm, PA = 6 cm, and AB is parallel to CD. If the area is 66cm2, find x

Answer 1

Answer:

4.5

Step-by-step explanation:

Given AB = (x+5)cm, CD= (3 x -1)cm, PA = 6 cm, and AB is parallel to CD. If the area is 66 cm^2, find x

We know that

Area of a triangle is 1/2 x b x h, given area = 66 cm^2, height = 6 cm and base is given by (x + 5) and (3x - 1)

PA is given as 6 cm which is height.

         Area = 1/2 x b x h

          66  = 1/2 x (3x - 1 + x + 5) x 6

         66 = 1/2 (4x + 4) x 6

         66 = 3(4x + 4)

              12x + 12 = 66

            12x = 66 - 12

            12x = 54

            x = 54/12

           x = 4.5