Question

Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a whole number of feet. What are the possible lengths and widths for Angelo's Clubhouse?

Answer 1

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle=
`length* breadth`

Using the formula

Area of rectangular floor for clubhouse=84 square feet

`Length(L)* breadth(B)=84`

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore, possible dimension of rectangular floor

`1ft* 84ft,2ft* 42ft,4ft* 21ft,6ft* 14ft,7ft* 12ft,12ft* 7ft,14ft* 6ft,21ft* 4ft,42ft* 2ft,84ft* 1ft`

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft