Question

the base of the parallelogram is thrice its height . if the area is 867m², find the base and height of the parallelogram.with diagram.

Answer 1

3x and x
3x×x=867
3x²=867
x²=289
x=17
therefore height is 17m and base is 51m

Answer 2

Answer:

Height, h = 17 m

Base, b = 51 m

Step-by-step explanation:

It is given that, the base of the parallelogram is thrice its height.

The area of parallelogram is 867 m².

Let x is the height of the parallelogram. Its base will be 3x

The formula used to find the area of a parallelogram is given by:

$A=\text{base}\times \text{height}$

So,

$867=3x^2\\\\x=\sqrt{289}\\\\x=17\ m$

So, the height is 17 m and the base of the parallelogram is 3(17) = 51 m