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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 9 Page 803

Use the formula for the area of a kite.

176 square inches

Practice makes perfect

A seamstress wants to cover a kite with cloth. One diagonal of a kite is d_1= 16 inches and the other one is d_2= 22 inches.

We are asked to find the area of cloth, {\color{#FF0000}{A_\text{cloth}}}. Let's use the formula for the area of a kite to find its area.

{\color{#FF0000}{A_\text{cloth}}}=\dfrac{{\color{#0000FF}{d_1}}\color{darkorange}{d_2}}{2}

▼

Substitute values and evaluate

d_1= 22, d_2= 16

{\color{#FF0000}{A_\text{cloth}}}=\dfrac{({\color{#0000FF}{22}})(\color{darkorange}{16})}{2}

Multiply

{\color{#FF0000}{A_\text{cloth}}}=\dfrac{352}{2}

Calculate quotient

{\color{#FF0000}{A_\text{cloth}}}={\color{#FF0000}{176}}

Therefore, the surface area of the kite is 176 square inches.

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