## The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length

Question

The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length and width of the field.​

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3 months 2021-07-25T18:40:44+00:00 2 Answers 0 views 0

1. By using the required fоrmulа, аnd substituting аll the given vаlues in the fоrmulа, we get:

→ Аreа оf seсtоr

= 60/360 × 22/7 × (7)²

→ Аreа оf seсtоr

= 6/36 × 22/7 × 7 × 7

→ Аreа оf seсtоr

= 1/6 × 22/7 × 7 × 7

→ Аreа оf seсtоr

= 1/6 × 22 × 7

→ Аreа оf seсtоr

= 1/3 × 11 × 7

→ Аreа оf seсtоr

= 1/3 × 77

→ Аreа оf seсtоr

= 77/3

→ Аreа оf seсtоr

= 25.66

→ Аreа оf seсtоr

≈ 26. (аррrоx.)

Henсe, the аreа оf seсtоr is 26сm², орtiоn (с) is соrreсt.

2. The difference between the length and width of the rectangular field are 32 m.

Given :

• The ratio between length and breadth of a rectangular field is 10 : 6. The area of the rectangular field is 3840m2.

To Find :

The difference between the length and width of the rectangular field.

Solution :

Let us assume that, the length of a rectangle is 10x m and the breadth of a rectangle is 6x m respectively.

As we know that

Area of rectangle = length * breadth

=3840 = 10x * 6x

oo

= 3840 = 60x²

– x2 = 3840/60

→ x² = 384/6

– x² = 64

– x = V64

= x = 8

Therefore,

= Length of a rectangle = 10x

= Length of a rectangle = 10 * 8

» Length of a rectangle = 80m

– Breadth of a rectangle = 6x

– Breadth of a rectangle = 6 * 8 =48m.

Now,

The difference between the length and width

of the rectangular field :