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The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden?

6 ft2
42 ft2
252 ft2
294 ft2

User Whoisbenli
by
5.3k points

2 Answers

4 votes

Answer with Step-by-step explanation:

The scale model of a rectangular garden is 1.5 ft by 4 ft.

Length of scale model=1.5 ft

Breath of scale model=4 ft

The scale model is enlarged by a scale factor of 7 to create the actual garden.

Length of actual garden=1.5×7 ft

= 10.5 ft

Breath of actual garden=4×7 ft

= 28 ft

Area of actual garden=10.5 ft× 28 ft

= 294 ft²

Hence, area of the actual garden is:

294 ft²

User SunnySydeUp
by
5.6k points
5 votes

A=bh

A=1.5ft*4ft

A=6ft^2

Multiply by the scale factor

A=(1.5*7)(4*7)

A=(10.5)(28)

A=294 ft^2

User Lucy Maya Menon
by
5.5k points