Question

If a rectangular lot measures 120 ft. x 80 ft, and 10 foot set backs are required from each lot line, how much area is left?

If a kennel for 50 dogs requires 12,500 square feet, how many dogs can be accommodated in the small rectangle?
There will be 9,600
square feet in the smaller lot.
The number of dogs allowed is 24 v (Use a whole number.)

Answer 1

• 6000 square feet
• 24 dogs

Explanation:

The available area is found by subtracting twice the border width from each of the overall lot dimensions. The accommodation that provides is found by dividing the area by the area required per dog.

__

The 10 foot setback from each lot line means the usable space has dimensions that are 20 feet shorter than the lot dimensions.

usable rectangle = (120 ft -20 ft)×(80 ft -20 ft) = (100 ft)(60 ft)

usable rectangle = 6000 ft²

There will be 6000 square feet in the smaller lot.

__

The space required for each dog is ...

(12,500 ft²)/(50 dogs) = 250 ft²/dog

Then the number of dogs that can be accommodated in 6000 ft² is ...

(6000 ft²)/(250 ft²/dog) = 24 dogs

The number of dogs allowed is 24.