Question

11. The length and breadth of a rectangular field are in the ratio of7:5 and it's perimeter is 384 find
the cost of reaping the field at 1.25 per sq. metre.
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Answer 1

Answer:

$\huge\underline\bold{Question -}$

The length and breadth of a rectangular field are in the ratio of7:5 and it's perimeter is 384 find

the cost of reaping the field at 1.25 per sq. metre.

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$\huge\underline\bold{Given -}$

Length = 7x

Breadth= 5x

Perimeter = 384 m.

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$\huge\underline\bold{To\:Find -}$

↬The dimensions.

↬Area.

↬Cost of reaping.

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‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎Let's go!

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$\huge\underline\bold{Solution -}$

➼Finding the dimensions is the first step.

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

384= 2(7x+5x)

384= 2×12x

384=24x

$\cancel\frac{384}{24}$=x

16= x

So,

Length= 7x= 7×16= 112m.

Breadth= 5x= 5×16= 80m.

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➼Now, we will find the area of through the given dimensions.

$\color{black}\boxed{\colorbox{saffron}{Area - length×breadth}}$

$= 112 \times 80 \\ \\ = {8690m}^{2}$

So,

Area= $\bold{8690m}^{2}$

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➼Finally, we will find the cost of reaping.

$\frac{8690}{1} \div \frac{125}{100} \\ \\ = \frac{8690}{1} \times \frac{100}{125} \\ \\ = \frac{869000}{125} \\ \\ = 6952$

So,

Cost or reaping = ₹6952.

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$\huge\underline\bold{Required\:Answer-}$

$\rightarrow$Area=${8690m}^{2}$

$\rightarrow$Cost=₹6952

Answer 2

Answer:

$\huge\underline\bold{Question -}$

The length and breadth of a rectangular field are in the ratio of7:5 and it's perimeter is 384 find

the cost of reaping the field at 1.25 per sq. metre.

‎ ‎

‎ ‎

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

384= 2(7x+5x)

384= 2×12x

384=24x

$\cancel\frac{384}{24}$=x

16= x

So,

Length= 7x= 7×16= 112m.

Breadth= 5x= 5×16= 80m.

$\color{black}\boxed{\colorbox{saffron}{Area - length×breadth}}$

$= 112 \times 80 \\ \\ = {8690m}^{2}$

So,

Area= $\bold{8690m}^{2}$

‎ ‎

$\frac{8690}{1} \div \frac{125}{100} \\ \\ = \frac{8690}{1} \times \frac{100}{125} \\ \\ = \frac{869000}{125} \\ \\ = 6952$

So,

Cost or reaping = ₹6952.