Chapter 11.1, Problem 41HP

To determine

To Find: To find the required measurements for the area of the given parallelogram.

Answer to Problem 41HP

The answer is $\text{SW}\times \text{QR}\text{and}\text{SR}\times \text{PT}$

Explanation of Solution

Given information: Given parallelogram PQRS

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

Calculation:

First way-

Consider, QR as base then SW is perpendicular to this base

So, SW is the height

Thus, area of parallelogram is $=\text{SW}\times \text{QR}$

Second way-

Consider RS as base then PT is perpendicular to this base

So, PT is height

Therefore, area of parallelogram is $=\text{SR}\times \text{PT}$

Hence, the required ways are $\text{SW}\times \text{QR}\text{and}\text{SR}\times \text{PT}$