Question

The length of a
a
rectangle i 20% mas
thon its breadth. What will be the
ratio of the area of a rectangle to
that of a square where side is equal
to the breadth of the rectangle?​

Answer 1

Answer:

6 : 5

Description for Correct answer:

Let the breadth of the rectangle be x

∴ According to question,

Length = 1.20 x

∴ Area of rectangle = 1.20 x × x

= 1.20 x2

Area of square = x × x = x2

∴ Required ratio = 1.20x2x2

= 1210 = 65

Answer 2

Step-by-step explanation:

Let the breadth of rectangle be x

The length of a rectangle is 20% more than its breadth

Length = \frac{20}{100}x+x = 0.2x+x=1.2x

100

20

x+x=0.2x+x=1.2x

Area of rectangle = Length \times BreadthLength×Breadth

Area of rectangle = 1.2x\timesx1.2x\timesx

= 1.2x^21.2x

2

Side of square = Breadth of rectangle = x

So, area of square = Side^2 = x^2Side

2

=x

2

Now the ratio of the area of a rectangle to that of a square = \frac{1.2x^2}{x^2}

x

2

1.2x

2

= \frac{12}{10}

10

12

= \frac{6}{5}

5

6

Hence the ratio of the area of a rectangle to that of a square is 6:5