Carlos is building a screen door. The height of the door is 1 foot more than twice its width. what is the width of the door if i
1 answer:
<u>ANSWER: </u>
Carlos is building a screen door.The width of the screen is 3 feet.
<u>SOLUTION: </u>
Given, Carlos is building a screen door. The height of the door is 1 foot more than twice its width.
And height of the screen door is 7 feet high.
Let the width of the screen door be x feet wide.
Now, according to given information,
Height is 1 foot more than the 2 times of width. Hence we can form a equation as,
7 = 1 + 2x
2x = 7 – 1
2x = 6
x = = 3
Hence, the width of the screen is 3 feet.
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Let base of the triangle be 'b' and height of the triangle be 'h'
⇒ b = h + 5
Also, we have been given that the area of the triangle is 187 square yards
We have to determine the length of the base and height of the triangle.
⇒ = 187
⇒ \frac{1}{2} * (h+5) * (h)[/tex] = 187
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⇒
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⇒ h = 17 or h = -22
Since height can't be negative, so h = 17 yards
⇒ b = h + 5 = 17+5 = 22 yards
Hence, height of the triangle is 17 yards and the base is 22 yards.