SOLUTION: The width of a rectangular is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of the rectangle?
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Question 102169This question is from textbook Algebra
: The width of a rectangular is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of the rectangle? This question is from textbook Algebra
You can put this solution on YOUR website! First lets state the formula for perimeter of a rectangle.
Perimeter = 2(length) + 2(width)
Ok for this rectangle lets set the length equal to x
length = x
Now we are told that the width is one half it length.
So if the length is x then
width = 1/2*(x) or x/2
Ok the problem also tells us that the perimeter is 54 cm
Now we have everything we need to use the perimeter formula and solve for x
Perimeter = 2(length) + 2(width)
54 = 2(x) + 2(x/2)
54 = 2x + x
54 = 3x
18 = x Answer: the length is 18 cm
Now use this value for lenght to find the width
width = x/2
width = 18/2
width = 9 Answer: the width is 9 cm
Check both answers by using the perimeter formula.
Perimeter = 2(length) + 2(width)
54 = 2(18) + 2(9)
54 = 36 + 18
54 = 54
