SOLUTION: the length of a rectangle is 7 more that 3 times its width. if the perimeter is 38 cm, what is the area, in square centimeters, of the rectangle

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Question 1208965: the length of a rectangle is 7 more that 3 times its width. if the perimeter is 38 cm, what is the area, in square centimeters, of the rectangle

Found 3 solutions by math_tutor2020, ikleyn, mccravyedwin:
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

w = width
3w = three times the width
3w+7 = seven more than the previous amount = length

perimeter = 2*(length+width)
perimeter = 2*(3w+7 + w)
2*(4w+7) = 38
8w+14 = 38
8w = 38-14
8w = 24
w = 24/8
w = 3 cm is the width
length = 3w+7 = 3*3+7 = 16 cm

area = length*width = 16*3 = 48 square centimeters
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Formally, this problem is written incorrectly.

To be correct, the problem must say that this  " 7 more "  is,  actually,  " 7 centimeters more ".


Not 7 inches more, not 7 feet more, not 7 yards more, not 7 meters more,
not 7 millimeters more, not 7 kilometers more, and not 7 apples more.

But precisely 7 centimeters more.


In word Math problems, it is      to use numbers without pointing their dimension units.



Answer by mccravyedwin(406)   (Show Source): You can put this solution on YOUR website!
If we want to get real picky, in addition to the omission of "centimeter",: 
1. The two sentences should begin with capital letters.
2. The word "that" should be "than".
3. The second sentence is a question, and should end with a question mark "?".

Edwin
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