In a rectangle, one side is 8 m larger than the other, find the area of the rectangle if its perimeter is 28 m.
January 15, 2021 | education
| The smaller of the sides of the rectangle is designated by the conditional variable “Y”.
This means that the largest of the sides will be equal to Y + 8 meters.
The next step is to compose the equation: (Y + Y + 8) x 2 = 28.
When we solve the resulting equation, we have 2Y + 8 = 14 or 2Y = 6 or Y = 6/2 = 3 meters.
Therefore, the large side of the rectangle will be 3 + 8 = 11 meters.
This means that the area of the rectangle is 3 x 11 = 33 m ^ 2.
Answer: 33 m ^ 2.
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