A rectangle has an area of 30 m² and a perimeter of 34 m. What are the dimensions of the rectangle?

1 answer:

7 0

Length is l
width is w
l*w = 30
2l + 2w = 34

You can simplify the second equation to l + w = 17

Factors of 30:
30*1
15*2
10*3
6*5

Try adding each of these factors together, to find out which equals 17

30 + 1 = 31
15 + 2 = 17
10 + 3 = 13
6 + 5 = 11

So the dimensions of the rectangle are 15m * 2m

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The solutions are x = -7, 6.

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To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

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