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The lengths of the sides of a rectangle are in the ratio of 4:7. If the longer side is 31.5 in, find the width, the perimeter, and the area of this rectangle.

Respuesta :

We are given lengths of sides of the rectangle = 4:7.

Longer side is 31.5 inches.

Let us assume width be x.

Setting proportion, we get

[tex]\frac{x}{31.5} =\frac{4}{7}[/tex]

On cross multiplication, we get

7x = 31.5 × 4

7x = 126.

Dividing both sides by 7, we get

7x/7 = 126/7

x = 18.

Therefore, width = 18 inches.

Perimeter = 2( length + width) = 2(31.5+18) = 2 (49.5) = 99 inches.

Area = Length × Width = 31.5 × 18 = 567 square inches.

Unicorn233

Answer:

Width: 18 in

Perimeter: 99 in

Area: 567 square inch (es).

Step-by-step explanation:

4:7= x: 31.5

x=18

So the width is 18 in.

Next we have the Perimeter, formula is 2(length+width)---> 2(31.5+18)= 99 in

So the perimeter is 99 in.

Next, we have the Area, formula is LxW-----> 31.5 x 18= 567 square inches.

So the Area is 567 square inch(es).

I hope this helps:) !!

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