A 2 text{ m} broad pathway is to be construct | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the length and breadth of the rectangular plot be $l$ and $b$ respectively.Given,the area of the plot is $l 	imes b = 96 	ext{ m}^2$.$A$ pat

Vedclass · Accepted Answer

Data inadequate

Vedclass · Answer

(D) Let the length and breadth of the rectangular plot be $l$ and $b$ respectively.Given,the area of the plot is $l 	imes b = 96 	ext{ m}^2$.$A$ pathway of width $2 	ext{ m}$ is constructed inside the plot.The dimensions of the inner rectangle (excluding the path) will be $(l - 4)$ and $(b - 4)$ because the path reduces the length and breadth from both sides.The area of the path is calculated as: $	ext{Area of path} = 	ext{Total Area} - 	ext{Inner Area} = lb - (l - 4)(b - 4)$.Substituting $lb = 96$: $	ext{Area of path} = 96 - (lb - 4l - 4b + 16) = 96 - (96 - 4(l + b) + 16) = 4(l + b) - 16$.Since the values of $l$ and $b$ are not individually known,the sum $(l + b)$ cannot be determined from the given area $lb = 96$ alone.Therefore,the area of the path cannot be calculated,and consequently,the total cost of construction cannot be determined.Thus,the data provided is inadequate.

$A$ $2 \text{ m}$ broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is $96 \text{ m}^2$. The rate of construction is $₹ 50 / \text{ m}^2$. Find the total cost of construction (in $₹$).

Similar Questions

$A$ solid metallic sphere of radius $21\, cm$ is melted and recast into a cone with diameter of the base as $21\, cm$. What is the height (in $cm$) of the cone?

The cost of fencing a circular plot at the rate of $Rs. 15$ per $m$ is $Rs. 3300$. What will be the cost of flooring the plot at the rate of $Rs. 100$ per square metre? (in $Rs.$)

The area of the largest circle that can be drawn inside a rectangle with sides $18 \, cm$ and $14 \, cm$ is (in $cm^2$):

The number of marble slabs of size $20 \text{ cm} \times 30 \text{ cm}$ required to pave the floor of a square room of side $3 \text{ m}$ is:

If the height of an equilateral triangle is $2 \sqrt{3} \text{ cm}$,then the length of its side is ...... $\text{cm}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module