Question

10. The area of a rectangular field is 465 m² and its length is 31 m. Find the
a) breadth of the field - 15 metre
b) cost of fencing it at the rate of $15.50 per metre. 1426 F By

Incorrect answers will be reported​

Answer 1

Step-by-step explanation:

area of field=465m 2

length=31 m

breadth=465/31

=15m

perimeter=2(l+b)=92m

cost of fencing 1 m=15.50

cost of fencing 92 m=15.50×92

=Rs.1426

Answer 2

Given :-

The area of a rectangular field = 465 m²

Length of the rectangular field = 31 m

Cost of fencing per meter = $15.50

To Find :-

The breadth of the rectangle.

The cost of fencing the rectangle.

Analysis :-

Consider the breadth as a variable and substitute the values in it's respective formula.

Using the formula of perimeter of rectangle and solve it accordingly.

In order to get the cost of fencing, multiply the perimeter to the cost per meter.

Solution :-

We know that,

• l = Length
• b = Breadth
• a = Area
• p = Perimeter

Let the breadth be 'x' meters.

By the formula,

$\underline{\boxed{\sf Area \ of \ rectangle=Length \times Breadth}}$

Given that,

Length (l) = 31 m

Area (a) = 465 m²

Substituting their values,

$\sf 465 = 31 \times x$

$\sf x=\dfrac{465}{31}$

$\sf x=15$

Therefore, the breadth of the rectangle is 15 m.

By the formula,

$\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length+Breadth)}}$

Given that,

Length (l) = 31 m

Breadth (b) = 15 m

Substituting their values,

Perimeter = 2(31 + 15)

= 2(46)

= 92 m

Therefore, the perimeter of the rectangle is 92 m.

Given that,

Cost of fencing per meter = $15.50

Perimeter of rectangle = 92 m

Cost of fencing = Cost per meter × Perimeter of the rectangle

Substituting them,

Cost of fencing = 15.50 × 92

Cost = $1426

Therefore, the cost of fencing is $1426