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Real-Life Math -- Solution

You are designing a rear panel for a new car. You need to make room for the gas tank cover, but you don't know its length or exact width. Using the measurements provided, calculate the length and width of the gas tank flap.

The perimeter of the rectangle is 25 inches. The length of the rectangle is 0.5 inches more than 3 times the width. What is the length of the rectangle?

The perimeter is made up of 2 lengths and 2 widths.

So the perimeter is (3w + 0.5) + (3w + 0.5) + w + w = 25
Solve for w:
6w + 0.5 + 0.5 + 2w = 25
8w + 1 = 25
8w = 25 - 1
8w = 24
w = 3

The width is 3 inches.

Now that you know the width, calculate the length:

length = 3w + 0.5
length = (3 x 3) + 0.5
length = 9 + 0.5
length = 9.5

The length of the rectangular gas tank flap is 9.5 inches.

"The initial creative designers use more imagination than math, but then the car body designers and the engineers have to figure out how to make the design work," says Speirs.


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