Question
A rectangular grassy lawn measuring $38m$ by $25m$ has been surrounded externally by a $2.5-m-$wide path. Calculate the cost of gravelling the path at the rate of $Rs.120$ per $m^2$.
✓
Answer
Inner length of lawn $(\mathrm{I})=38 \mathrm{~m}$
and breadth $(b)=25 \mathrm{~m}$
Width of path $=2.5 \mathrm{~m}$
$\text { Outer length }(\mathrm{L})=38+2 \times 2.5=38+5=43 \mathrm{~m}$
$\text { and outer breadth }(B)=25+2 \times 2.5=25+5=30 \mathrm{~m}$
$\text { Area of path }=\text { Outer area - Inner area }$
$=(43 \times 30-38 \times 25) \mathrm{m}^2$
$=(1290-950) \mathrm{m}^2=340 \mathrm{~m}^2$
$\text { Rate of gravelling the path = Rs. } 120 \text { per m² }$
$\text { Total cost = Rs. } 120 \times 340=\text { Rs. } 40800$
and breadth $(b)=25 \mathrm{~m}$
Width of path $=2.5 \mathrm{~m}$
$\text { Outer length }(\mathrm{L})=38+2 \times 2.5=38+5=43 \mathrm{~m}$
$\text { and outer breadth }(B)=25+2 \times 2.5=25+5=30 \mathrm{~m}$
$\text { Area of path }=\text { Outer area - Inner area }$
$=(43 \times 30-38 \times 25) \mathrm{m}^2$
$=(1290-950) \mathrm{m}^2=340 \mathrm{~m}^2$
$\text { Rate of gravelling the path = Rs. } 120 \text { per m² }$
$\text { Total cost = Rs. } 120 \times 340=\text { Rs. } 40800$
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
If milk is available at ₹ $17 \frac{3}{4}$ per litre, find the cost of $7 \frac{2}{5}$ litres of milk.
→In $\triangle \text{ABC}, \angle \text{A}=50^\circ$ and $BC$ is produced to a point $D$. The bisectors of $\angle \text{ABC}$ and $\angle \text{ACD}$ meet at $E$. Find $\angle \text{E}$
→State with reasons, which of the following pairs of terms are like terms and which are unlike terms:
$i. 7x, 12y$
$ii. 15x, –21x$
$iii. – 4\ ab, 7\ ba$
$iv. 3\ xy, 3x$
$v. 6\ xy^2 , 9\ x^2 y$
$vi. pq^2 , – 4\ pq^2$
$vii. mn^2 , 10\ mn$
→$i. 7x, 12y$
$ii. 15x, –21x$
$iii. – 4\ ab, 7\ ba$
$iv. 3\ xy, 3x$
$v. 6\ xy^2 , 9\ x^2 y$
$vi. pq^2 , – 4\ pq^2$
$vii. mn^2 , 10\ mn$
Copy the following drawings on squared paper and complete each one of them in such a way that resulting figure has two dotted lines as two lines of symmetry:
Set up an equation on the basis of the statement given at the end and find the unknown quantity in the equation so obtained: One-fifth of a number minus $4$ gives $3$
→Two hundred students of class VI and VII were asked to name their favourite colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.
Represent the given data on a bar graph.
(i) Which is the most preferred colour and which is the least?
(ii) How many colours are there in all?
| Colour: | Red | Green | Blue | Yellow | Orange |
| Number of students: | 43 | 19 | 55 | 49 | 34 |
(i) Which is the most preferred colour and which is the least?
(ii) How many colours are there in all?
Identify the nets which can be used to make cubes $($cut out copies of the nets and try it$):$
→In Fig. $A B$ and $C D$ are parallel lines intersected by a transversal $P Q$ at $L$ and $M$ respectively. If $\angle C M Q=60^{\circ}$, find all other angles in the figure.
→Which of the following figures have rotational symmetry of order more than $1:$
$a.$
$b.$
$c.$
$d.$
$e.$
$f.$
→$a.$
$b.$
$c.$
$d.$
$e.$
$f.$
Find three consecutive natural numbers such that the sum of the first and second is 15 more than the third.