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
