Frankie is building a deck in his backyard. The area of the scale drawing is? square inches. If the scale is 1 inch = 4 feet, the area of the actual deck would be? square feet. Numerically, the value of the area of the actual deck would be? times the value of the area of the scale drawing. Based on these results, if the scale is 1 inch = k feet, the area of the actual deck would be? square feet.

Question

Claire Lawrence

Mathematics

13 August, 19:02

Frankie is building a deck in his backyard. The area of the scale drawing is? square inches. If the scale is 1 inch = 4 feet, the area of the actual deck would be? square feet. Numerically, the value of the area of the actual deck would be? times the value of the area of the scale drawing. Based on these results, if the scale is 1 inch = k feet, the area of the actual deck would be? square feet.

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Alfredo Mccarthy · Answer 1

If 1 inch = 4 feet, then the actual lengths and widths are 48 times larger than the drawing.

The actual area would be 48^2 larger (or 2,304 times larger) in real life.

Example, if the scale drawing is 4 inches by 5 inches, the scale drawing area is 20 inches. In real life this would be (48*4) * (48*5) = 46,080 square inches.

There are 144 square inches per square foot so this equals 320 square feet.

So, 46,080 / 144 = 320 square feet.