Question

a rectangular crazy plot is 125 metre long and 74 it has a part 2.5 metre wide and all around inside find the area of the path also find the cost of levelling the past at trust 6.80 per metre square​

Answer 1

Correct Question:-

➣

A rectangular grassy plot is 125m long and 74m broad it has a path 2.5m wide all around it on the inside. Find the cost of levelling the path at rupees 6.80 per metre square

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Answer:-

Area of the path = $\bf{1020 m^2}$

Cost of levelling the path = $\bf{Rs. 6936}$

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• Given:-

Length of a rectangular plot =$\bf{125 \: metre}$

Breadth of the rectangular plot =$\bf{74 \: metre}$

Breadth of the path all around it on the inside =$\bf{2.5 \: metres}$

Cost of levelling the path per metre square =$\bf{Rs.6.80}$

• To Find:-

Area of the path =$\bf{?}$

Cost of levelling the path =$\bf{?}$

• Solution:-

➣ Diagram:-

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\multiput(0,0)(4,0){2}{\line(0,1){3}}\multiput(0.7,0.5)(0,2){2}{\line(1,0){2.7}}\multiput(0.7,0.5)(2.7,0){2}{\line(0,1){2}}\put(0.7,2){\vector(-1,0){0.7}}\put(0,2){\vector(1,0){0.7}}\put(2,3){\vector(0,-1){0.5}}\put(2,2.5){\vector(0,1){0.5}}\put(0.1,2.1){ \bf 2.5 }\put(2.1,2.6){ \bf 2.5\ m }\put(0.7,2.5){ \bf \underbrace{ \qquad \qquad \qquad \quad \: \: \: } }\put(1.5,2){ \bf 125\ m} }\put(0.7,1.4){ \bf\left.\substack{\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ }\right\} }\put(1.1,1.3){ \bf 74\ m }\end{picture}$

Area of rectangle with orignal dimensions = $\bf{l \times b}$

→ 125 × 74

→ $\bf{9250 \: m^2}$

New Dimensions:-

Length [l] = 125 + 2.5 + 2.5

→ 130 m

Breadth [b] = 74 + 2.5 + 2.5

→ 79 m

Area:-

→ $l \times b$

→ 130 × 79

→ 10270 m²

Area of Path:-

New Dimensions - Orignal Dimensions

→ 10270 - 9250

→ $\bf{\boxed{1020 m^2}}$

Cost of levelling:-

Cost of 1m² = Rs. 6.80

Cost of 1020 m² = 1020 × 6.80

→ $\bf{\boxed{Rs. 6936}}$

Therefore,

Area of the path is $\bf{1020 m^2}$

Cost of levelling the path is $\bf{Rs. 6936}$

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