Answer:
W = 77
L = 98
Step-by-step explanation:
Question a:
Area of a rectangular field = 7392
Length L = 96
Width w = ?
Area of a rectangle = L x W
7392 = 96 x W
Divide both sides by 96
7392/96 = 96/96 x w
77 = w
W = 77
Question b:
Perimeter of a rectangular painting = 372
Width = 88
Length = ?
Perimeter of a rectangle =
2(L + w)
372 = 2(L + 88)
Distribute 2 into (L + 88)
We have
372 = 2 x L + 2 x 88
372 = 2L + 176
Subtract 176 from both sides
372 - 176 = 2L + 176 - 176
196 = 2L
Divide both sides by 2
196/2 = 2L/2
98 = L
L = 98