Question

2. Area of a rectangular field is 450 sq. m. The breadth of
the field is 15 m. What is the ratio of the length and
area of the rectangular field ?​

Answer 1

Answer:

. Area of a rectangular field is 450 sq. m. The breadth of

the field is 15 m. What is the ratio of the length and

area of the rectangular field ?

answer. ratio =15:1

Answer 2

Answer :-

• The ratio of length is to the area of the Rectangular field is 1:15.

Step-by-step explanation:

To Find :-

• The ratio of length is to area of the Rectangular field

Solution:

Given the,

• Area of the rectangular field = 450m²
• Breadth of the field = 15m

∴ The length of the filed:

As we know that,

Perimeter of rectangle = 2 ( Length + Breadth ),

=> 2 ( Length + 15 ) = 450

=> Length + 15 = 450/2

=> Length + 15 = 225

=> Length = 225 - 15

=> Length = 210

Hence, the length of the Rectangular field is 210m.

Now, Area of the Rectangular field:

As we know that,

Area of rectangle = Length × Breadth,

=> Area = 210m × 15m

=> Area = ( 210 × 15 )m²

=> Area = 3150m²

Hence, the area of the field is 3150m².

Now, According the question,

The ratio of length is to the area of the Rectangular field.

=> Length : Area

=> 210 : 3150

=> 42 : 630

=> 14 : 210

=> 7 : 105

=> 1 : 15

∴ The ratio of length is to the area of the Rectangular field is 1:15.