The ratio of x:y is 50:36
Step-by-step explanation:
It is given that, there are two rectangles P and Q.
Rectangle P :
- The length of the rectangle P, l = 40 cm.
- The width of the rectangle P, w = x cm.
The formula for the area of the rectangle is given by [tex]length \times width\\[/tex]
Area of the rectangle P = 40x cm²
Rectangle Q :
The length of the rectangle Q is 25% more than length of P.
⇒ 125% of 40
⇒ (125/100) × 40
⇒ 50 cm
- The length of the rectangle Q, l = 50 cm.
- The width of the rectangle Q, w = y cm.
The formula for the area of the rectangle is given by [tex]length \times width\\[/tex]
Area of the rectangle Q = 50y cm²
To find the ratio of x:y
The area of Q is 10% less than the area of P.
This means that, the area of Q is equal to 90% of area of P.
⇒ 50y = 90% of 40x
⇒ 50y = (90/100) × 40x
⇒ 50y = 0.9 × 40x
⇒ 50y = 36x
⇒ 50/36 = x/y
The ratio of x:y = 50:36
