Question

The shaded rectangle shown below is a scale drawing of a rectangle whose area is 288 square feet. What is the scale factor of the drawing? (Note: Each square on the grid has a length of 1 unit.)

Answer 1

2881

Explanation:

Answer 2

1 sq.unit = 9 sq.feet

Explanation:

Length of shaded rectangle = 6 square on grid

We are given that Each square on the grid has a length of 1 unit.

So, Length of shaded rectangle = 6 units

Breadth of shaded rectangle = 4 square on grid = 4 units

Area of shaded rectangle =
`Length * Breadth = 8 * 4 = 32 units^2`

We are given that area of original square = 288 sq.feet

32 sq.unit = 288 sq.feet

1 sq.unit =
`(288)/(32) =9`

So, 1 sq.unit = 9 sq.feet

Hence Scale is 1 sq.unit = 9 sq.feet