Question

The perimeter of a square field is 176 m. Find the area of the field. Also, find the cost of laying grass on it at ₹5.50 per square metre.

Answer 1

Step-by-step explanation:

perimeter of square field = 176 m

perimeter of square = 4s = 176

s = 176/4

s = 44 m

area of square field = s × s

= 44 × 44

= 1936 sq m

rate of laying grass = Rs. 5.50 per sq m

cost of laying grass for 1936 sq m

1936 × 5.50 = Rs. 10648

Hope you get your answer

Answer 2

$\begin{gathered}\begin{gathered}\bf Given -  \begin{cases} &\sf{perimeter \: of \: square \: field \: = 176 \: m} \\ &\sf{cost \: of \: laying \: grass \: is \: ₹ \: 5.50 \: per \: {m}^{2} } \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf  To \:  Find :-  \begin{cases} &\sf{area \: of \: square \: field}  \\ &\sf{total \: cost \: of \: laying \: grass} \end{cases}\end{gathered}\end{gathered}$

${\large{\bold{\rm{\underline{Using \; concept}}}}}$

☆ First we have to find the side of square using formula of perimeter, then we find the area of square field. Then multiply the area by cost to find the total cost of laying the grass.

${\large{\bold{\rm{\underline{Using \; formula}}}}}$

${\large{\bold{\rm{ \red{(1). \: \: \underline{Perimeter_{(square)} = 4 \times side}}}}}}$

${\large{\bold{\rm{ \red{(2). \: \underline{Area_{(square)} = \: {(side)}^{2} }}}}}}$

Now, let's do it!!

$\large\underline\purple{\bold{Solution :- }}$

$\begin{gathered}\begin{gathered}\bf \longrightarrow Let :-  \begin{cases} &\sf{side \: of \: square \: = x \: meter}  \end{cases}\end{gathered}\end{gathered}$

$\longrightarrow \tt \: Perimeter_{(square)} \: = 176$

$\tt\implies \:4 \times x = 176$

$\tt\implies \:x = \dfrac{ \cancel{176}}{ \cancel4} = 44 \: m$

$\tt\implies \:side \: of \: square \: = 44 \: m$

$\longrightarrow \tt \: Now, \: Area_{(square)} = {x}^{2}$

$\tt\implies \:Area_{(square)} = {44}^{2}$

$\tt\implies \:Area_{(square)} = 1936 \: {m}^{2}$

$\longrightarrow \tt \: \: Cost \: of \: laying \: grass \: = ₹ \: 5.50 \: per \: {m}^{2}$

$\tt\implies \:Total \: Cost \: = 1936 \times 5.50 = ₹ \: 10648$