Question

a blueprint of a house has a scale of 2.5 in:5 feet. would a pool table that is 8 by 6 feet fit in a space that has drawing dimensions of 4 inches and 5.2 inches? if so, how much space will remain after the table is put in the room?

Answer 1

yes it will fit; there would be 35.2 sf remaining

Explanation:

Find the dimensions of the table in inches:

2.5/5 = x/6

x = 3 in

2.5/5 = x/8

x = 4 in

Scaled table area = (3 in)(4 in) = 12 in²

Scaled room area = (4 in)(5.2 in) = 20.8 in²

12 < 20.8, Therefore, the table would fit.

How much room is left over:

Find the room dimensions in feet.

2.5/5 = 4/x

x = 8 ft

2.5/5 = 5.2/x

x = 10.4 ft

Room area = (8)(10.4) = 83.2 sf

Table area = (8)(6) = 48 sf

83.2 - 48 = 35.2 sf space would remain