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zimovet [89]
3 years ago
10

The length of a rectangle is 5 m longer than its width. If the perimeter of the rectangle is 46 m , find its area.

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0
The sides of the rectangla are its length and width. We know the length is 5m longer than the width. Since we dont know the width, we can say that the width is x and the length is x+5.

The perimeter, as we know, is equal to the sum of all sides. We have two “length” sides and two “width” sides, so our equation is:

x + x + x+5 + x+5 = 46
Lets add all of this:
4x + 10 = 46
4x = 46-10
4x = 36
x = 36/4
x = 9

So our width is 9m and the length is 14m.

The area of a rectangle is width times length, so:
9*14=126m^2.
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Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

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