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Maria is making a stained glass window in the form of a kite. The width of the window must be 15 inches, and she only has enough stained glass to cover 60 square inches. What should the height of the window be?

Answer :

Final answer:

To calculate the height of Maria's stained glass window with a width of 15 inches and a total area of 60 square inches, we use the area formula. After calculation, the height must be 8 inches to fit the available stained glass area.

Explanation:

Maria is tasked with making a stained glass window in the shape of a kite. She has a constraint for the width of the window, which is 15 inches, and a limit on the amount of stained glass available, with an area of 60 square inches. To calculate the height of the window she can make, we will use the formula for the area of a kite, which is similar to that of a rectangle.

The formula for the area of a kite is Area = (diagonal1 × diagonal2) / 2. In this case, we will consider one of the diagonals as the width of the window, and our goal is to find the other diagonal which would represent the height.

Given the area (60 in²) and the width (15 in), we can rearrange the formula to solve for the height:

Height = (Area × 2) / Width

Height = (60 in² × 2) / 15 in

Height = 120 in² / 15 in

Height = 8 in

Therefore, the height Maria should make her stained glass window must be 8 inches to stay within the limit of the stained glass area available.

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Rewritten by : Brahmana

Height of the window as per given dimensions is equal to [tex]4[/tex] in.

What is height?

" Height is defined as the one of the dimension which represents how high is the given object."

Formula used

Area of the window = Base × height

According to the question,

Given dimensions,

Width of the window [tex]= 15 in[/tex]

Area of the window [tex]= 60 in^{2}[/tex]

[tex]'h'[/tex] represents the height of the window

Substitute the value to get the height in the formula,

[tex]60 = 15 \times h\\\\h = \frac{60}{15}\\ \\h = 4 in[/tex]

Hence, height of the window as per given dimensions is equal to [tex]4[/tex] in.

Learn more about height here

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