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%
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.