Question
It is given that the length of the rectangular piece is 20 m and its width is 15 m .And, from each corner a quadrant each of radius 3.5 m has been cut out. A rough figure for this is given below:
✓
Answer
Length of rectangular portion $( l )=20 m$
breadth (b) $=15 m$
Area of the rectangular piece $=1 \times b=20 \times 15=300 m^2$
Radius of semicircular portion $(r)=3.5 m$
Total area of 4 quadrants
$=4\times\frac{1}{4}\times\pi\text{r}^2=\frac{22}{7}\times(3.5)^2\text{m}^2$
$=\frac{22}{7}\times12.25\text{m}^2=22\times1.75\text{m}^2=38.5\text{m}^2$
breadth (b) $=15 m$
Area of the rectangular piece $=1 \times b=20 \times 15=300 m^2$
Radius of semicircular portion $(r)=3.5 m$
Total area of 4 quadrants
$=4\times\frac{1}{4}\times\pi\text{r}^2=\frac{22}{7}\times(3.5)^2\text{m}^2$
$=\frac{22}{7}\times12.25\text{m}^2=22\times1.75\text{m}^2=38.5\text{m}^2$
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 distance between two stations is 300km. Two motorcyclists start simultaneously from these stations and move towards each other. The speed of one of them is 7km/ h more than that of the other. If the distance between them after 2 hours of their start is 34km, find the speed of each motorcyclist. Check your solution.
Manjit bought an iron safe for Rs. 12160 and paid Rs. 340 for its transportation. Then, he sold it for Rs. 12875. Find his gain percent.
Sunita is twice as old as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times Ashima's age. How old were they two years ago?
Verify the division algorithm i.e., Dividend = Divisor × Quotient + Remainder, in the following. Also write the quotient and remainder.
Dividend: $15\text{y}^4-16\text{y}^3+9\text{y}^2-\frac{10}{3}\text{y}+6$
Divisor: $3\text{y}-2$
→Dividend: $15\text{y}^4-16\text{y}^3+9\text{y}^2-\frac{10}{3}\text{y}+6$
Divisor: $3\text{y}-2$
The area of the base of a right circular cylinder is $616 cm^2$ and its height is 25 cm . Find the volume of the cylinder.
→The marks scored by 40 students of class VIII in mathematics are given below:
81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54.
Prepare a frequency distribution with class size of 10 marks.
81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54.
Prepare a frequency distribution with class size of 10 marks.
Find the capacity of a rectangular cistern in litres whose dimensions are $11.2 m \times 6 m \times 5.8 m$. Find the area of the iron sheet required to make the cistern.
→Solve:
$5\text{x}-\frac{1}{3}(\text{x}+1)=6(\text{x}+\frac{1}{30})$
→$5\text{x}-\frac{1}{3}(\text{x}+1)=6(\text{x}+\frac{1}{30})$
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side along the road. If the area of this field is $10500 m^2$ and the perpendicular distance between the two parallel sides is 100 m , find the length of the side along the river.
→Solve the following equations :
→$\frac{9 x}{8}+1=10$