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An artist is creating a scale drawing of a mural in the shape of a right triangle she will paint for the city. Her drawing is 8 inches long and has a hypotenuse of 15 inches. If the mural has a hypotenuse of 96 inches, how long is the mural?
(A)
46.9in.
(C)
165in.
(B)
51.2in.
(D)
180in.

An artist is creating a scale drawing of a mural in the shape of a right triangle she will paint for the city. Her drawing is $8$ inches long and has a hypotenuse of $15$ inches. If the mural has a hypotenuse of $96$ inches, how long is the mural? $\newline$ (A) $46.9 \mathrm{in}$ . $\newline$ (C) $165 \mathrm{in}$ . $\newline$ (B) $51.2 \mathrm{in}$ . $\newline$ (D) $180 \mathrm{in}$ .

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Add and subtract integers: word problems

Full solution

Q. An artist is creating a scale drawing of a mural in the shape of a right triangle she will paint for the city. Her drawing is

8

inches long and has a hypotenuse of

15

inches. If the mural has a hypotenuse of

96

inches, how long is the mural?

\newline

(A)

46.9 \mathrm{in}

.

\newline

(C)

165 \mathrm{in}

.

\newline

(B)

51.2 \mathrm{in}

.

\newline

(D)

180 \mathrm{in}

.

Find Scale Factor: First, let's find the scale factor by dividing the hypotenuse of the actual mural by the hypotenuse of the drawing. $\newline$ Scale factor = $\frac{96 \text{ inches}}{15 \text{ inches}}$ . $\newline$ Scale factor = $6.4$ .
Calculate Length of Mural: Now, multiply the length of the drawing by the scale factor to find the length of the mural. $\newline$ Length of mural = $8$ inches $\times 6.4$ . $\newline$ Length of mural = $51.2$ inches.

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