Question

the ratio of the length and the breadth of a rectangle is 4:3 and its area is 180 sq. cm, find its length..​

Answer 1

Answer:

length = 4 × √15 = 4√15

Breadth = 3 × √15 = 3√15

Explanation:

Answer

Length of rectangle = 4√15 cm.

Breadth of rectangle = 3√15 cm.

Given

Ratio between the length and breadth of a rectangle is 4 : 3.

Area of rectangle = 180 sq. cm.

To Find

The length of the rectangle.

Solution:

Let us assume that the length of the rectangle be 4x cm and breadth be 3x cm.

$\bold{\underline{\boxed{\mathfrak{\green{Area_{(Rectangle)} = Length \times Breadth}}}}}$

4x × 3x = 180

12x² = 180

x² = 15

x = √15

So length = 4 × √15 = 4√15

Breadth = 3 × √15 = 3√15

Answer 2

Answer:

length = 4 × √15 = 4√15

Breadth = 3 × √15 = 3√15

Explanation:

Answer

Length of rectangle = 4√15 cm.

Breadth of rectangle = 3√15 cm.

Given

Ratio between the length and breadth of a rectangle is 4 : 3.

Area of rectangle = 180 sq. cm.

To Find

The length of the rectangle.

Solution:

Let us assume that the length of the rectangle be 4x cm and breadth be 3x cm.

4x × 3x = 180

12x² = 180

x² = 15

x = √15

So length = 4 × √15 = 4√15

Breadth = 3 × √15 = 3√15