Question

The ratio of length of a rectangle to its breadth is same as the ratio of its two diagonals.if the diagonals are 10cm and 8 cm respectively find the length of rectangle with breadth 4cm.

Answer 1

Answer:

Given, the length and breadth of a rectangle are in the ratio 3:2 respectively.

Then let the length and breadth of the rectangle be 3x,2x respectively.

If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.

According to the problem,

2x+1

3x+1

=

7

10

or, 20x+10=21x+7

or, x=3.

So length and breadth are 9,6 m respectively.

Now area of the rectangle be 9×6=54 m

2

.