Question

The rectangular dance floor is twice as long as it is wide. The tent surrounds the dance floor, leaving some space (7 feet in each direction) for guests to mingle and cool off after dancing. This extra space (represented by the grey area) has an area of 952 square feet. Your task is to find the dimensions of the dance floor.

Answer 1

ok
you know area
formula right?

Answer 2

the extra space
means
what you have left over

Answer 3

f you have

2 pieces of space
and
you have
the extra left over
which is 952

Answer 4

can you put that into a formula?

Answer 5

The dance floor is 18 ft wide and 36 ft long.

Answer 6

Let's say that the width of the dance floor = x ft
Length = 2x ft
Area = 2x² sqft

Tent width = x + 7 + 7
= x + 14 ft
Tent length = 2x + 7 + 7
= 2x + 14 ft
Total tent area = (x + 14)(2x + 14) sqft
= 2x² + 42x + 196 sqft

The grey area sounds like it's (2x² + 42x + 196) - 2x² sqft

42x + 196 = 952
42x = 756
x = 18

Answer 7

Thanks everyone (: