Question

Can anyone please help me with this geometry question?

The height of a parallelogram is three times its base. If the area of the parallelogram is 675 square inches, find its base and height.

Which of these choices are correct?


b = 25 in & h = 75 in

b = 75 in & h = 225 in

b = 45 in & h = 135 in

b = 25 in & h = 12.5 in

Answer 1

Explanation:

let base be x and height be 3x

we know area of parallelogram is

base*height

ie x*3x=675

3x^2=675

x^2=675/3

x^2=225

x= square root of 225

x=15

therefore base =15

height = 45