Question

Here is a rectangle all measurement are in centimetres the area is 48cm^2 find the value of y

Answer 1

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