Question

ASAP URGENT ANSWER maths

Answer 1

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 $length \times width$

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 $length \times width$

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