Answer:
(a) width = 71 ft; (b) length = 77 ft
Explanation:
(a) The formula for area of a rectangle is
A = lw, where
- A is the area in units squared
- l is the length
- w is the width
Because we're already given the area and length, we can find the width by plugging everything into the formula and solve for width, w:
6319 = 89w
71 ft = w
(b) The formula for perimeter of a rectangle is
P = 2l + 2w, where
- P is the perimeter
- l is the length
- w is the width
Since we're given the perimeter and width this time, we can plug everything into the formula and solve for l:
272 = 2l + 2(59)
272 = 2l + 118
154 = 2l
77 ft = l
We can check our answers for (a) and (b) by plugging in the length and width for (a) into the area formula and seeing whether we get 6319 and plugging in the length and width for (b) into the perimeter formula and seeing whether we get 272
Checking answers for (a):
6319 = 89 * 71
6319 = 272
Checking answers for (b):
272 = 2(77) + 2(59)
272 = 154 + 118
272 = 272