Question

6. The area of a parallelogram ABCD with AB = 40 cm and the corre
DE = 18 cm is equal to that of another parallelogram PQRS with sid.
Find the altitude of this parallelogram corresponding to the side QR​

Answer 1

The altitude of the parallelogram PQRS corresponding to the side QR is 20 cm

Step-by-step explanation:

The question is,

The area of a parallelogram ABCD with AB =40cm the corresponding altitude DE=18cm is equal to that of another parallelogram PQRS with side QR =36 cm. Find the altitude of this parallelogram corresponding to the side QR

Given Data

Area of the parallelogram ABCD = Area of the parallelogram PQRS

For Parallelogram ABCD, base AB = 40 cm

Altitude DE = 18 cm

For Parallelogram PQRS, Side or Base QR = 36 cm

Find the corresponding altitude to the side QR of the parallelogram PQRS

Area of the Parallelogram = base × Height    (Square units)

Area of the parallelogram ABCD = 40 × 18

Area of the parallelogram ABCD = 720 cm²

Area of the parallelogram PQRS =  Area of the parallelogram ABCD

Base × Height = 720 cm²

36 cm × Height = 720 cm²

$\text {Height } = \frac{720}{36} cm$

Height = 20 cm

Therefore the corresponding altitude to the side QR for a parallelogram is 20 cm when the area of the parallelogram PQRS is equal to area of the parallelogram ABCD with base AB 40 cm and corresponding altitude DE 18 cm.

To Learn More ...

1) The area of the parallelogram and square are the same .the perimeter of a square is 84 cm and the base of the parallelogram is 7cm , find the height of the parallelogram​

https://brainly.in/question/12158227

Answer 2

Step-by-step explanation:

Therefore the corresponding altitude to the side QR for a parallelogram is 20 cm when the area of the parallelogram PQRS is equal to area of the parallelogram ABCD with base AB 40 cm and corresponding altitude DE 18 cm

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