Question

19. A small rectangular piece of land measures 63by4 feet
by 16 by 3 feet. It is laid with a special grass, the total cost
of which is ₹1722. Find the cost of laying the grass
per square foot.​

Answer 1

Answer :-

✳ Hence we get cost of laying the grass

= ₹20.5 per square foot

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★ Concept :-

Here the concept of Area of Rectangle is used. According to this concept the area of a rectangular plane is given by :-

» Area of rectangle = Length × Breadth

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★ Solution :-

Given,

• Length of the rectangular land = l = (63/4) feet

• Breadth of the rectangular land = b = (16/3) feet

Then, now let us find the area of the given rectangular piece of land.

✒ Area of rectangle = Length(l) × Breadth(b)

✒ Area of rectangle = (63/4) × (16/3)

✒ Area of rectangle = 21 × 4

✒ Area of rectangle = 84 foot²

Hence we get that, area of rectangular piece of land = 84 foot².

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Here we are given, the total cost of grassing the field. If we divide the total cost by total area, we can get cost per area because cost per area is directly depended on the area and total cost.

This is given by :-

▶ Rate of grassing = Total Cost/Area

▶Rate of grassing = 1722/84

▶ Rate of grassing the field = 20.5 ₹

✳ Hence we get cost of laying the grass

= ₹20.5 per square foot

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★More to know :-

• Area of square = (Side)²

• Perimeter of rectangle = 2(l + b)

• Perimeter of square = 4 × side

• Area of circle = πr²

where r is the radius.

• Perimeter of circle = 2πr

where r is the radius.

• Two dimensional figures are the figures which are drawn on a plane and represent two axial systems that is x and y axis.