Question

mark has a cabinet door in his kitchen with the dimensions shown below. he creates a scale drawing where the width of the cabinet door is 15 inches. what is the height of the cabinet door in marks scale drawing? 5 ft 3 ft 17 in. 9 in. 45 in. 25 in.

Explanation:

Step1: Convert real - life width and height to inches

Since 1 ft = 12 inches, the real - life width is $3\times12 = 36$ inches and the real - life height is $5\times12=60$ inches.

Step2: Set up proportion

Let the height of the scale drawing be $h$. The proportion is $\frac{36}{15}=\frac{60}{h}$.

Step3: Cross - multiply

$36h = 15\times60$.

Step4: Solve for $h$

$36h=900$, so $h=\frac{900}{36}=25$ inches.

Answer:

25 in.