Answer:
y = 3 cm
Step-by-step explanation:
We'll begin by calculating the value of x. This can be obtained as follow:
2x + 6 = 5x – 9 (opposite side of rectangle are equal)
2x + 6 = 5x – 9
Collect like terms
6 + 9 = 5x – 2x
15 = 3x
Divide both side by 3
x = 15 / 3
x = 5 cm
Next, we shall determine the length of the rectangle. This can be obtained as follow:
L = 2x + 6
x = 5 cm
L = 2(5) + 6
L = 10 + 6
L = 16 cm
Finally, we shall determine the value of y. This can be obtained as follow:
Length (L) = 16 cm
Width (W) = y =?
Area (A) = 48 cm²
A = L × W
48 = 16 × y
Divide both side by 16
y = 48 / 16
y = 3 cm
