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

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

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-06-10T17:05:49+02:00

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

[tex]P=2(length+width)[/tex]

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

[tex]80=2(3x+5x)[/tex]

[tex]80=2(8x)[/tex]

[tex]80=16x[/tex]

Divide both sides by 16.

[tex]5=x[/tex]

The value of x is 5.

The dimensions of the rectangle are 15 and 25.

The area of rectangle is

[tex]A=length\times breadth[/tex]

[tex]A=15\times 25[/tex]

[tex]A=375[/tex]

Therefore the area of MNPQ is 375 square inches.