Answer: The width is 27, while the length is 11.
Step-by-step explanation: If the width is five more than twice the length, and the length is given as L, then the width can be expressed as
5 + 2 x L
= 5 + 2L
If the perimeter is 76, and the perimeter of a rectangle is given as
Perimeter = 2(L + W), then
Perimeter = 2(L + 5 + 2L)
Perimeter = 2(3L + 5)
76 = 6L + 10
Subtract 10 from both sides of the equation
66 = 6L
Divide both sides of the equation by 6
L = 11
Having calculated the value of L, the width can now be computed as follows
W = 5 + 2L
W = 5 + 2(11)
W = 5 + 22
W = 27
Hence the dimensions are, Length = 11 and Width = 27.
