What is the area of the rectangle?

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²

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