Advertisements
Advertisements
Question
4 squares each of side 10 cm have been cut from each corner of a rectangular sheet of paper of size 100 cm × 80 cm. From the remaining piece of paper, an isosceles right triangle is removed whose equal sides are each of 10 cm length. Find the area of the remaining part of the paper.
Advertisements
Solution
Area of each square = (10)2 cm2 = 100 cm2 ...[∵ Area of square = (Side)2]
Area of rectangular sheet = 100 × 80 cm2 = 8000 cm2 ...[∵ Area of rectangle = Length × Breadth]
Area of an isosceles right triangle = `1/2 xx 10 xx 10` = 50 cm2 ...[∵ Area of an isosceles right triangle = `1/2` × base × height]
∴ Area of remaining part of paper = 8000 – 4 × 100 – 50 = 7550 cm2
APPEARS IN
RELATED QUESTIONS
Find the area of a rectangle whose length and breadth are 12 cm and 4 cm respectively.
If the cost of 1 sq m of a plot of land is 900 rupees, find the total cost of a plot of land that is 25 m long and 20 m broad.
The length of a rectangular park is 14 m more than its breadth. If the perimeter of the park is 200 m, what is its length? Find the area of the park
Find the area of the following rectangle
length = 6 cm and breadth = 3 cm
If length of a rectangle is halved and breadth is doubled then the area of the rectangle obtained remains same.
Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle.
Find the area of the rectangle whose sides are:
2 m and 70 cm
The length and breadth of the three rectangles are as given below:
- 9 m and 6 m
- 17 m and 3 m
- 4 m and 14 m
Which one has the largest area and which one has the smallest?
The dimensions of a plot are 200 m × 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses?
A carpet of size 5 m × 2 m has 25 cm wide red border. The inner part of the carpet is blue in colour (see figure). Find the area of blue portion. What is the ratio of areas of red portion to blue portion?
