Question

Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m2.

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Answer 1

Appropriate question:-

• Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m².

Given:-

• Side of square plot.

To find:-

• Cost of developing the garden at ₹55 per m².

Formula used:-

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \implies Area \: of \: square= {s}^{2}} }}}}}$

Where,

• s = side

$\large \blue{\underline{ \green {\boxed{\bf{ \red {\implies Area \: of \: rectangle=Length×Breadth}}}}}}$

Solution:-

We can easily find the area of square and area of rectangle using the formula and then we will subtract area of rectangle from area of square. After we subtract we will multiply ₹55 with the remaining area.

$\large\underline{\bf{ \implies \: Area_{square} - area_{ rectangle}}}$

$\large\underline{\bf{ \implies{s}^{2} - l \times b }}$

$\large\underline{\bf{ \implies {(25m)}^{2} - 20m \times 15m }}$

$\large\underline{\bf{ \implies{625m}^{2} - 300 {m}^{2} }}$

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \maltese \: \: \: \: 325 {m}^{2} }}}}}}$

$\large\underline{\bf{ \implies325 {m}^{2} \times ₹55/ {m}^{2} }}$

Here,

• "/" indicates per.

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \maltese \: \: \: \: \: \: \: \: ₹17,875}}}}}}$

Answer 2

Answer:

Area of the house = length x breadth

= 20 x 15 = 300 m2

Area of garden = Area of square plot – Area of house

= 625 – 300 = 325 m2

Cost of developing the garden per sq. m = ₹ 55

Therefore, Cost of developing the garden 325 sq. m

= ₹ 55 x 325 = ₹ 17,875

Hence total cost of developing a garden around is ₹ 17,875.

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