Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?

Area of rectangle cage = 336 feet²

Step-by-step explanation:

Given:

Wire required for fencing = 100 feet

Width of rectangular cage = 8 feet

Find:

Area of rectangle cage

Computation:

Wire required for fencing = perimeter of cage

Perimeter of rectangular cage = 100 feet

2[l + b] = 100 feet

l + 8 = 50 feet

Length of rectangular cage = 42 feet

Area of rectangle cage = Length x Width

Area of rectangle cage = 42 x 8

Area of rectangle cage = 336 feet²

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870