Answer:
length = 29 inches
width = 8 inches
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 74 in
The statement
The length of a rectangle picture is 5 inches more than three times the width is written as
l = 5 + 3w
Substitute the expression into the above formula and solve for the width
That's
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 64
Divide both sides by 8
w = 8
Substitute this value into l = 5 + 3w and find the length
That's
l = 5 + 3(8)
l = 5 + 24
l = 29
The dimensions of the rectangle are
length = 29 inches
width = 8 inches
Hope this helps you
