Question

The perimeter of rectangle MNPQ is 80 in and the ratio MN : MQ = 3:5. Find the area of MNPQ

Answer 1

Let's write 3:5 = 3k:5k. Then using perimeter formula, we can write that $P=(3k+5k)2=80$ and k=5 cm. The sides are 15 cm and 25 cm. The area is $A=15*25=375 cm^{2}$

Answer 2

Answer:

The area of MNPQ is 375 square inches.

Step-by-step explanation:

It is given that the ratio MN : MQ = 3:5. It means the ratio of dimensions is 3:5.

Let the dimensions of the rectangle be 3x by 5x.

The perimeter of a rectangle is

$P=2(length+width)$

It is given that the perimeter of rectangle MNPQ is 80.

$80=2(3x+5x)$

$80=2(8x)$

$80=16x$

Divide both sides by 16.

$5=x$

The value of x is 5.

The dimensions of the rectangle are 15 and 25.

The area of rectangle is

$A=length\times breadth$

$A=15\times 25$

$A=375$

Therefore the area of MNPQ is 375 square inches.