Question

the sides of a rectangle are in the ratio of 4:5 and its perimeter is 90 cm . Find the dimension of the rectangle and its area.​

Answer 1

Step-by-step explanation:

We know that the sum of the lengths of all sides of your rectangle are equal to 90 and that the sides have a ratio of 4:5. We can solve this using simple algebra.

Lets say the shorter side is 4x in length and the longer side is 5x based on the ratio given in the problem.

For all rectangles, perimeter=2(length)+2(width)

So if we substitute the x values we assigned above, we get 2(4x)+2(5x)=90

We can simplify this equation:

8x+10x=90

18x=90

Then divide both sides by 18 to solve for x;

x=5.

If shorter side = 4x, and x =5, the width is 4*5 = 20cm

If longer side = 5x and x=5, the length is 5*5 = 25cm

For all rectangles, Area=length x width

Using the values we calculated above:

Area = 20cm x 25cm = 500cm

hope it's helpful to you mate