The length of a rectangular field is twice its breadth. If the area of the rectangular field is 98 sq. M., then what is the peri

Question

3 years ago

12

meter of the field? Also find the approximate length of the diagonal of the field.

1 answer:

Naddik [55] · Answer 1 · 2022-06-08T00:47:27+03:00

Answer:

<h2>Perimeter = 42m</h2><h2>length of the diagonal ≈ 16m</h2>

Step-by-step explanation:

The Area of the rectangular field is expressed as A = LB and its perimeter

P = 2(L+B)

L is the length of the rectangular field

B is the Breadth of the rectangular field

If the length of a rectangular field is twice its breadth i.e L = 2B and the area is 98m² then;

98 = LB

98 = 2B*B

98 = 2B²

B² = 98/2

B² = 49

B = √49

B = 7m

if B = 7m

L = 98/B

L = 98/7 = 14m

The perimeter of the field P = 2(L+B)

P = 2(14+7)

P = 2*21

P = 42m

The perimeter of the field is 42m.

The length of the diagonal of the field can be expressed using Pythagoras theorem.

d = √L²+B²

d = √14²+7²

d = √196+49

d = √245

d = 15.7m ≈ 16m

Hence, the approximate length of the diagonal of the field is 16m