The length of a rectangle is 3cm longer than its width.If the perimeter of the rectangle is 54cm,find its length in cm.
2 answers:
Answer:
length = 15 cm
Width = 12 cm
Step-by-step explanation:
Let width = w cm
Length = w + 3
Perimeter of rectangle = 54 cm
2 * (length + width) = 54
2 * (w+3 + w) = 54 {Add like terms}
2 *(2w + 3) = 54
2*2w + 2 * 3 = 54
4w + 6 = 54
Subtract 6 form both sides
4w = 54 - 6
4w = 48
Divide both sides by 4
w = 48/4
w = 12 cm
Length = 12 + 3= 15 cm
Answer:
Length = 15cm
Step-by-step explanation:
let width be x
length = x+3
Perimeter = 2(l + b)
Perimeter = 54cm
equating:
2(x + x + 3) = 54
2(2x +3) = 54
4x + 6 = 54
4x = 54 - 6
4x = 48
x = 48/4 = 12
width = x = 12cm
length = x +3 = 12 + 3 = 15cm
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