Chapter 11.1, Problem 25PPS

To determine

To Find: To find the base and height of the given parallelogram.

Answer to Problem 25PPS

The answer is 12cm and 3cm.

Explanation of Solution

Given information: Given area of parallelogram is 36square cm.

Formula used: Area of parallelogram $=\text{base}\times \text{height}$

Calculation:

Let the base of the parallelogram is x then, height is $\frac{1}{4}\times x$

According to question.

  $\begin{array}{l}36=x\times \frac{1}{4}x\\ 36=\frac{x^2}{4}\\ x^2=144\\ x=\pm 12\\ \because \text{side}\text{cannot}\text{be}\text{negative}\\ \therefore x=12\text{cm}\end{array}$

Thus, the required base is 12cm

And the height is $\frac{1}{4}\times 12=3\text{cm}$

Hence, the required base and height of the parallelogram is 12cm and 3cm.