Question

11. A garden is 120 m long and 85 m wide. It has an inside path of uniform width of
3.5 m all around it. Find the cost of
(a) levelling the path at 1.25 per square metre, and
(b) watering the remaining portion of the garden at 50 paise per square metre.​

Answer 1

Step-by-step explanation:

The area of the garden with the path-the area of the garden without the path=the area of the path.

then,

the area of the garden with the path

=length=120+3.5+3.5=127m

breadth=85+3.5+3.5=92m

area=127mx92m=11684m2

area of the garden with out the path

=length=120m

breadth=85m

area=120x85=10200m2

area of the path=11684-10200=1484m2

(a)levelling the the path 1.25 rupees per square meter

then,

1484x1.25=1855 rupees.

the area of the path without the path=10200m2

watering the area 50 paise=0.50 per square meter=10200x0.50=5100 rupees.

Answer 2

Answer:

Here we have to find the cost of covering the garden by grass for that we have to find the area of the rectangle for which the covering has to be done. To find the area we have to find the length and breadth of the inner garden by subtracting the length and breadth of the garden and the width of the path. Using the area formula and newly formed length and breadth. By multiplying the newly found area with the cost given we will find the required cost.

Formula used:Area of rectangle =Length×Breadth=Length×Breadth

Complete step-by-step answer:

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle

Complete step by step answer:

Here, it is given that the length of the outer rectangle = 120 meter and breadth of the outer rectangle=85 meter.

Let the outer rectangle be ABCD and the inner rectangle be

abcd

abcd

.

The uniform width of the inside path is 3.5 meter all around it.

We subtract outer length from uniform width to get data about the inner shape.

So, the length of the inner rectangle is given subtracting the length of the outer field and the uniform width.

Length of the inner rectangle = 120 - 7 = 113 m

Similarly the breadth of the inner rectangle = 85 - 7 = 78 m

We know that, the formula of area of a rectangle =Length×Breadth=Length×Breadth

The area of the inner rectangle = 113 × 78 = 8814 m²

We have to find the cost of covering,

We know that 1 rupee = 100 paise then 50 paisa = 0.5 rupees

So, by multiplying the Rs 0.5 into the area of the inner rectangle we will find the cost of covering.

The total cost of covering the garden by grass = 0.5 × 8814= Rs 4407

Hence, the total cost of covering the field with grass is Rs. 4407

Step-by-step explanation:

I'm a Beginner hope this helps you.

This is my first question answered by me.