Question

The adjacent sides of a rectangle are in the ratio 5:3 and its perimeteris 32cm find the sides​

Answer 1

Answer:

Area is 474.60

Step-by-step explanation:

Perimeter=2(length)+2(width)

So if we substitute the x values we assigned above, we get 2(5x)+2(3x)=32

We can simplify this equation:

10x+6x=90

16x=90

Then divide both sides by 16 to solve for x;

x=5.625.

 

If shorter side = 3x, and x =5.625, the width is 3×5.625 = 16.875 cm

If longer side = 5x and x=5.625, the length is 5×5.625= 28.125cm

 

For all rectangles, Area=length x width

Using the values we calculated above:

Area = 16.75 cm x 25.125cm = 474.60 cm