Question

- The sides of a rectangular field are as 3 : 4 and the
area of the field is 1452 sq. metres. Find its sides
(length and breadth).​

Answer 1

Answer:

Let the length of sides of the rectangle be a and b. According to the question ab=1452m2−(i) and a:b=4:3 or ab=43

or, a=43b−(ii)

Substituting the value of a into (i)

43b2=1452m2

b2=3∗14524m2

b2=1089m2

b=1089−−−−√m=33m

Substituting the value of b into (ii),

a=43∗33=44m

So, the side lengths of the field are 33 m and 44 m. Since generally the term length is used for the longer side, the length of the field is 44 m.