10. The areas of a rectangle and a square are inthe ratio 3:2. If the

1.	10. The areas of a rectangle and a square are inthe ratio 3:2. If the length of the rectangle isdoubled and the side of the square is tripled,find the ratio of their new areas. 3
Answer» We know that Area of rectangle = length * breadth We know that Area of square = a^2. Now, Given that ratio of area of rectangle and area of square is 3:2. = > (lb)/(a^2) = 3/2. ------ (1) (i) Given that length of rectangle is doubled = 2l. Area = (2l)(b) = 2lb. (ii) Given that Side of square is tripled = 3a. Area of square = (3a)^2 = 9a^2. Now, Ratio of areas: = > (2lb)/9a^2 = > (2/9) * (lb/a^2) = > (2/9) * (3/2) {From (i)} = > 1/3 = > 1 : 3 Hit like if you find it useful! thanks

10. The areas of a rectangle and a square are inthe ratio 3:2. If the length of the rectangle isdoubled and the side of the square is tripled,find the ratio of their new areas. 3

Answer»

We know that Area of rectangle = length * breadth

We know that Area of square = a^2.

Now,

Given that ratio of area of rectangle and area of square is 3:2.

= > (lb)/(a^2) = 3/2. ------ (1)

(i)

Given that length of rectangle is doubled = 2l.

Area = (2l)(b) = 2lb.

(ii)

Given that Side of square is tripled = 3a.

Area of square = (3a)^2 = 9a^2.

Now,

Ratio of areas:

= > (2lb)/9a^2

= > (2/9) * (lb/a^2)

= > (2/9) * (3/2) {From (i)}

= > 1/3

= > 1 : 3

Hit like if you find it useful!

thanks