Question

the length and breadth of a field are in the ratio 7:5 and its perimeter is 168 m. find the area of the field . also find cultivating the field at a cost of 4.75 per sq. meter.
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Answer 1

Answer:

Length:breadth=7:5

Let the length and breadth be x,

By the problem,

2×(7x+5x)=168m

=2×12x=168m

=24x=168m

x=168/24

x=7

Therefore,

Length=7×7=49m

Breadth=7×5=35m

Area of the field=49m×35m

=1715m²

Cost of cultivating the field per sq. meter=Rs.4.75

Area of the field=1715m²

Total cost of cultivating the field at a rate of Rs.4.75 per square meter=1715×4.75

=Rs.8146.25

HOPE IT HELPS ✌️✌️✌️.

Answer 2

$\large\star\boxed{\green{\bf{\underline{\underline{☸\:GIVEN\:☸}}}}}$

Ratio of length and breadth = 7:5

Perimeter = 168m

Cost of cultivating per square meter = Rs. 4.75 per square meter

$\large\star\boxed{\green{\bf{\underline{\underline{☸\:</strong><strong>T</strong><strong>o</strong><strong>\</strong><strong>:</strong><strong>F</strong><strong>i</strong><strong>n</strong><strong>d</strong><strong>\:☸}}}}}$

1)) Area of the field.

2)) Cost of cultivating the field.

$\large\star\boxed{\green{\bf{\underline{\underline{☸\:SOLUTION\:☸}}}}}$

We know that the formula of the perimeter of a rectangle is

2( length + breadth)

So let the length(l) be 7x and breadth(b) be 5x.

The perimeter is 168m.

ATQ,

$2(length + breadth) = 168$

$= > 2(7x + 5x) = 168$

$= > 2(12x) = 168$

$= > 24 = 168$

$= > x = \frac{168}{24}$

$therefore \: x = 7$

So the length is 7x = 7 × 7 = 49m

The breadth is 5x = 5 × 7 = 35m

Now as we have found the length and breadth of the rectangle we can calculate the area by using the formula.

Formula of area of rectangle = l × b

So,

$area = l \times b$

$= > 49 \times 35$

$therefore \: area \: is \: </strong><strong>1</strong><strong>7</strong><strong>1</strong><strong>5</strong><strong> \: {m}^{2}$

So, now it is given that the cost of cultivating the field per square meter is Rs. 4.75

$so \: the \: cost \: of \: cultivating \\ \: the \: field \: of \: area \: </strong><strong>1</strong><strong>7</strong><strong>1</strong><strong>5</strong><strong>\: {m}^{2} </strong><strong>\</strong><strong>:</strong><strong>is \: \\ 4.75 \times </strong><strong>1</strong><strong>7</strong><strong>1</strong><strong>5</strong><strong>= </strong><strong>8</strong><strong>1</strong><strong>4</strong><strong>6</strong><strong>.</strong><strong>2</strong><strong>5$

So the cost of cultivating the field is Rs. 8146.25.

Length = 49 m

Breadth = 35 m

Area = 1610 $\bold{m}^{2}$