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Martha drew a scale drawing of a shopping centre. The scale of the drawing was 1 inch : 5 feet. If a bakery in the shopping centre is 7 inches wide in the drawing, how wide is the actual bakery?

User Lyngvi
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2 Answers

6 votes

Answer:

The actual width of the bakery is 420 feet.

Step-by-step explanation:

If the scale of Martha's drawing is 1 inch : 5 feet, it means that every 1 inch in the drawing represents 5 feet in reality.

Given that the width of the bakery in the drawing is 7 inches, we can calculate the actual width of the bakery by multiplying the drawing width by the scale factor.

Actual width of the bakery = Drawing width * Scale factor

Drawing width = 7 inches

Scale factor = 5 feet / 1 inch

Now, Performing the calculation:

Actual width of the bakery = 7 inches * 5 feet / 1 inch

To cancel out inches in the numerator and denominator, we multiply by 12 inches / 1 foot:

Actual width of the bakery = (7 inches * 5 feet / 1 inch) * (12 inches / 1 foot)

Simplifying the units:

Actual width of the bakery = (7 * 5 * 12) feet

Calculating:

Actual width of the bakery = 420 feet

Therefore, the actual width of the bakery is 420 feet.

User Viszman
by
7.2k points
1 vote

Final answer:

To calculate the actual width of the bakery, which is 7 inches on the scale drawing, multiply by the scale factor of 5 feet per inch to get an actual width of 35 feet.

Step-by-step explanation:

Martha drew a scale drawing of a shopping centre with a scale of 1 inch : 5 feet.

To find the actual width of the bakery, which is 7 inches wide on the drawing, we need to multiply the width on the drawing by the scale factor.

Multiplication step: 7 inches × 5 feet/inch = 35 feet

Thus, the actual width of the bakery is 35 feet.

User Boeckm
by
7.9k points