Question
A rectangular grassy plot is 75 m long and 60 m broad. If has path of width 2 m all around it on the inside. Find the area of the path and cost and of constructing it at Rs 125 per $m ^2$.
✓
Answer
Outer length of plot $(L)=75 m$
and breadth $(B)=60 m$
Width of path inside $=2 m$
Inner length $(I)=75-2 \times 2=75-4=71 m$
and width (b) $=60-2 \times 2=60-4=56 m$
Area of the path $= L \times B - I \times b =(75 \times 60-71 \times 56) m ^2=4500-3976=524 m^2$
Rate of constructing it = Rs. 125 per $m ^2$
Total cost $=$ Rs. $524 \times 125=$ Rs. 65500
and breadth $(B)=60 m$
Width of path inside $=2 m$
Inner length $(I)=75-2 \times 2=75-4=71 m$
and width (b) $=60-2 \times 2=60-4=56 m$
Area of the path $= L \times B - I \times b =(75 \times 60-71 \times 56) m ^2=4500-3976=524 m^2$
Rate of constructing it = Rs. 125 per $m ^2$
Total cost $=$ Rs. $524 \times 125=$ Rs. 65500
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Calculate the area of the shaded region in each of the figures given below. Fig. (ii) has uniform width of 3cm and it is given that AB = CD.
A diagonal of a quadrilateral is 26cm and the perpendiculars drawn to it from the opposite vertices are 12.8cm and 11.2cm. Find the area of the quadrilateral.
Which of the two rational numbers is greater in the following pairs?
$\frac{4}{-5}\text{ or }\frac{-7}{8}$
→$\frac{4}{-5}\text{ or }\frac{-7}{8}$
What number must be added to each of the numbers 5, 9, 7, 12 to get the numbers which are in proportion?
A rope of length $13\frac{1}{2}\text{m.}$ has been divided into 9 pieces of the same length. What is the length of each piece?
→It one angle of a triangle is 100° and the other two angles are in the ratio 2 : 3. find the angles.
A wire is in the shape of a square of side 10cm. If the wire is rebent into a rectangle of length 12cm, find its breadth. Which figure encloses more area and by how much?
A student when asked to measure two exterior angles of $\triangle \text{ABC}$ observed that the exterior angles at A and B are of 103° and 74° respectively. Is this possible? Why or why not?
→Find the sum:
$8\frac{3}{4}+10\frac{2}{5}$
→$8\frac{3}{4}+10\frac{2}{5}$
The daily wages (in rupees) of 60 workers in a factory are given below:
Find the mean daily wages.
| Daily wages (in Rs.) | 280 | 300 | 320 | 360 | 380 |
| Number of workers | 14 | 16 | 15 | 7 | 8 |