Question

The height of a television screen is 75% of its width. The screen is 20 inches wide.

What is the area of the television screen?

By percent, how does this area compare to the area of a 20-inch by 20-inch screen?

The area of the television screen is square inches.

This area is % of the area of a 20-inch by 20-inch screen.

Answer 1

Answer: The area of the television screen is 300 square inches.

This area is 75% of the area of a 20-inch by 20-inch screen.

Explanation:

Given : The width of the screen = 20 inches

Since , the height of a television screen is 75% of its width.

Thus , the height of the screen = 75% of ( 20 inches)

`=(75)/(100)*20\text{ inches}\\\\=15\text{ inches}`

Thus , the height of screen = 15 inches

Area of screen = Height x Width

= 15 x 20 = 300 square inches

Thus , The area of the television screen is 300 square inches.

Area of a 20-inch by 20-inch screen = 20 x 20 square inches

= 400 square inches.

Required percentage :
`(300)/(400)*100=75%`

Thus , This area is 75% of the area of a 20-inch by 20-inch screen.

Answer 2

width = 20 inches
height = 75% x 20 =
`(75)/(100)` x 20= 15 inches
Area = height x width - 20 x 15 = 300 square inches

Area of 20 by 20 = 400 square inches

Difference = 400 - 300 = 100
Percentage =
`(100)/(400)` x 100% = 25%