Question

The areas of a parallelogram and a rectangle are same.The rectangle measure 10cm × 8cm.If one side of the parallelogram is 16cm, find the corresponding height of the parallelogram.

Answer 1

Let the given parallelogram be ABCD and rectangle be PQRS

Given: ar(ABCD) = ar(PQRS)

16*h = 10*8

16*h = 80

h = 5 cm

Answer 2

The corresponding height of the parallelogram is 5 cm

Step-by-step explanation:

Length of rectangle = 10 cm

Breadth of rectangle = 8 cm

Area of rectangle = $Length \times Breadth = 10 \times 8 = 80 sq.cm.$

One side of parallelogram = 16 cm

Area of parallelogram =$Base \times Height = 16 \times Height$

Area of rectangle = Area of parallelogram

$80 = 16 \times Height$

$\frac{80}{16}=Height$

5= Height

Hence the corresponding height of the parallelogram is 5 cm

#Learn more:

The area of a parallelogram is same as that of a rectangle with dimension 40cm by 12cm. lf the base of a parallelogram is 16cm, find the height of parallelogram.

https://brainly.in/question/6827794