Mathematics: The perimeter of rectangle mnpq is 80 in and the ratio mn : mq = 3: 5. find the area of mnpq

The perimeter of rectangle mnpq is 80 in and the

ybetancourt1

13.03.2022

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 $A=15*25=375 cm^{2}$

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genyjoannerubiera

13.03.2022

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.

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brimccauley6518

23.04.2022

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Step-by-step explanation:

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