Question
A rectangular grassy plot is 112m long and 78m broad. It has a gravel path 2.5m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.
✓
Answer
Length of rectangular plot (l) = $112m$
and breadth (b) = $78m$
Width of parth = $2.5m$
Inner length $=112-2 \times 2.5=112-5=107 m$
and inner breadth $=78-2 \times 2.5=78-5=73 m$
Area of path = outer area - inner area
$=(112 \times 78-107 \times 73) m ^2=8736-7811=925 m^2$
Rate ofconstructing $=\text { Rs. } 4.50 \text { per } m ^2$
Total cost $=925 \times \text { Rs. } 4.50=\text { Rs. } 4162.50$
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
The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
Solve the following equation and also check your result in case:
$(3\text{x}-8)(3\text{x+2})-(4\text{x}-11)(2\text{x}+1)=(\text{x}-3)(\text{x}+7)$
→$(3\text{x}-8)(3\text{x+2})-(4\text{x}-11)(2\text{x}+1)=(\text{x}-3)(\text{x}+7)$
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=\frac{-7}{11},\text{y}=\frac{2}{-5},\text{z}=\frac{-3}{22}$
→$\text{x}=\frac{-7}{11},\text{y}=\frac{2}{-5},\text{z}=\frac{-3}{22}$
Construct a quadrilateral ABCD given BC = 6.6cm, CD = 4.4cm, AD = 5.6cm and $\angle\text{C}=100^\circ$ and $\angle\text{C}=95^\circ.$
→Construct a quadrilateral PQRS, in which $\angle\text{PQR}=45^\circ,$ $\angle\text{QRS}=90^\circ,$ QR = 5cm, PQ = 9cm and Rs = 7cm.
→Find the area enclosed by the following figures as the sum of the areas of a rectangle and a trapezium:
Simplify:
$\left(x^3-2 x^2+3 x-4\right)(x-1)-(2 x-3)\left(x^2-x+1\right)$
→$\left(x^3-2 x^2+3 x-4\right)(x-1)-(2 x-3)\left(x^2-x+1\right)$
A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the CP to the MP.
A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs. 482 more. Find the sum.
Draw a rhombus EFGH by taking convenient length of side and convenient measure of an angle.
Draw its diagonals and name their point of Intersection as M.
i. Measure the opposite angles of the quadrilateral and angles at the point M.
ii. Measure the two parts of every angle made by the diagonal.
iii. Measure the lengths of both diagonals. Measure the two parts of diagonals made by point M.
Observe the measures. Also observe the measures obtained by your classmates and discuss about them.
Draw its diagonals and name their point of Intersection as M.
i. Measure the opposite angles of the quadrilateral and angles at the point M.
ii. Measure the two parts of every angle made by the diagonal.
iii. Measure the lengths of both diagonals. Measure the two parts of diagonals made by point M.
Observe the measures. Also observe the measures obtained by your classmates and discuss about them.