Question

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A) 40 units B) 30 units C) 13 units D) 24 units

Answer 1

Step-by-step explanation:

0

Q:

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A) 40 unitsB) 30 unitsC) 13 unitsD) 24 units

Answer:   D) 24 units 

Explanation:

Ratio of length and breadth is 6 : 5 

∴ Length = 6x 

Breadth = 5x 

∴ Area = l x b = 30x2 

∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x 

∴ (30*x*x)/(22x)= 60/11 

∴ X = 4 

∴ Length = 6x = 6 x 4 = 24 units

 

Answer 2

Given:-

Ratio of area of rectangle to its perimeter$\implies$ 60:11

Ratio of length and breadth $\implies$ 6:5

To Find:- Length of rectangle $\implies$ ?

Solution:-

Let the length and breadth be 6 x and 5 x

so,

Area : perimeter $\implies$60:11

length×breadth : 2(length+breadth)$\implies$60:11

6x × 5x : 2(6x + 5x) $\implies$60:11

30x² : 22x $\implies$ 60:11

30x : 22$\implies$ 60:11

$\frac{30x}{22}$ $\implies$ $\frac{60}{11}$

30x$\implies$ $\frac{60×22}{11}$

30x$\implies$ 60×2

x $\implies$ $\frac{120}{30}$

x$\implies$ 4

And,

length ==> 6x ==> 6×4 ==> 24 unit