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

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

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