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.

Respuesta :

width = 20 inches
height = 75% x 20 = [tex] \frac{75}{100} [/tex] 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 = [tex] \frac{100}{400} [/tex] x 100% = 25%

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.

Step-by-step 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)

[tex]=\dfrac{75}{100}\times20\text{ inches}\\\\=15\text{ inches}[/tex]

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 :[tex]\dfrac{300}{400}\times100=75%[/tex]

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