A lawn is in the form of a rectangle having its sides in the ratio 3-5- The area of the lawn is 13 hectares- Find the length and breadth of the lawn-

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A lawn is in ...

Question

A lawn is in the form of a rectangle having its sides in the ratio $3 : 5$ . The area of the lawn is $\frac{1}{3}$ hectares. Find the length and breadth of the lawn.

length

= 66.66

m, breadth

= 111.1

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length

= 33.33

m, breadth

= 55.5

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length

= 99.9

m, breadth

= 166.5

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None off these

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Solution

The correct option is A length $= 66.66$ m, breadth $= 111.1$ m
Let length $= 3 x$ and breadth $= 5 x$
Area $=$ $\frac{1}{3} \times 1000 = \frac{1000}{3} m^{2}$
$3 x \times 5 x = \frac{1000}{3}$
$x = 22.22$
Length $= 3 \times 22.22 = 66.66$ m
Breadth $= 5 \times 22.22 = 111.1$ m

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A lawn is in the form of a rectangle having its sides in the ratio 3:5. The area of the lawn is 13 hectares. Find the length and breadth of the lawn.

The correct option is A length =66.66 m, breadth =111.1 mLet length =3x and breadth =5xArea = 13×1000=10003m23x×5x=10003x=22.22Length =3×22.22=66.66 mBreadth =5×22.22=111.1 m

A lawn is in the form of a rectangle having its sides in the ratio $3 : 5$ . The area of the lawn is $\frac{1}{3}$ hectares. Find the length and breadth of the lawn.

The correct option is A length $= 66.66$ m, breadth $= 111.1$ m
Let length $= 3 x$ and breadth $= 5 x$
Area $=$ $\frac{1}{3} \times 1000 = \frac{1000}{3} m^{2}$
$3 x \times 5 x = \frac{1000}{3}$
$x = 22.22$
Length $= 3 \times 22.22 = 66.66$ m
Breadth $= 5 \times 22.22 = 111.1$ m