Question

An engineer has a 50:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by three and three fifths inches. What is the area of the actual bridge deck in square feet?

86 square feet
1,380 square feet
1,500 square feet
216,000 square feet

Answer 1

216,000

Explanation:

The area is the length times the width

a = 24 x 3
`(3)/(5)`

`(120)/(5)` x
`(18)/(5)` = 86.4

Take 86.4 and multiply that by the scale factor squared

86.4 x
`50^(2)` = 216,000

Helping in the name of Jesus.