Question

What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ?

A) Rs. 3748 B) Rs. 3847 C) Rs. 3944 D) Rs. 3154

Answer 1

Answer:

Area of plot is 289 sqft

its mentioned that its a square plot so the sides will be equal

Sqrt of 289 = 17 (17*17 = 289)

So the perimeter of building is 4*17 = 68 ft

Price of fence is Rs. 58 running feet

So 58 * 68 = 3944 Rs

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Answer 2

$\sf\large\underline{Given:}$

$\tt{\implies Area\:_{(building)}=289 sq.ft}$

$\tt{\implies Fencing\:_{(rate)}=Rs.58\:per\:sq.ft}$

$\sf\large\underline{To\: Find:}$

$\tt{\implies Total\:cost\:_{(fencing\: around\: building)}=?}$

$\sf\large\underline{Solution:}$

• By applying formula the area of square to get the side of square than calculate perimeter of square and at last multiplying by 58]

$\tt{\implies Area\:_{(square)}=S^2}$

$\tt{\implies S^2=289}$

$\tt{\implies S=\sqrt{289}}$

$\tt{\implies S=17\:ft}$

• Now calculate perimeter of square]

$\tt{\implies Perimeter\:_{(square)}=4\times\:S}$

$\tt{\implies Perimeter\:_{(square)}=4\times\:17}$

$\tt{\implies Perimeter\:_{(square)}=68\:ft}$

$\sf\large{Hence,}$

$\tt{\implies Total\:cost\:_{(fencing)}=Perimeter\times\: rate}$

$\tt{\implies Total\:cost\:_{(fencing)}=68\times\:58}$

$\tt{\implies Total\:cost\:_{(fencing)}=Rs.3944}$

$\tt{\underbrace{Answer=option-(c)}}$