Question

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

Answer 1

Answer:294 took test

Answer 2

The Area of the actual garden is 294 square feet.

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.

It means that the dimension of the garden are multiplied with the scale factor to find the actual dimension.

Hence,

Length of actual garden=
`1.5* 7= 10.5\ ft`

Breath of actual garden=
`4* 7 = 28\ ft`

Now Area of garden can be calculated by multiplying length and breadth.

Framing the equation we get;

Area of actual garden=
`10.5\ ft * 28\ ft = 294\ ft^2`

Hence, area of the actual garden is 294 square feet.