Advertisements
Advertisements
प्रश्न
The perimeter of a rectangle is 40 m. Its length is four metres less than five times its breadth. Find the area of the rectangle.
उत्तर
Let breadih of the rectangle = x
Then, length of the rectangle = 5x – 4
We know that,
Perimeter of rectangle = 2(l + b)
⇒ 40 = 2(l + b) ......[∵ Perimeter = 40 m, given]
⇒ 40 = 2(5x – 4 + x)
⇒ 40 = 2(6x – 4)
⇒ 12x – 8 = 40
⇒ 12x = 40 + 8
⇒ 12x = 48
⇒ x = `48/12` = 4
So, breadth = x = 4 m and length = 5x – 4 = 5 × 4 – 4 = 16 m
∴ Area of rectangle = l × b = 4 × 16 = 64 m2
Hence, the area of rectangle is 64 m2.
APPEARS IN
संबंधित प्रश्न
If the length of a rectangle is 15 cm and breadth is 5 cm, find its area.
A page of a calendar is 45 cm long and 26 cm wide. What is its area?
The side of a square is 6 cm. The length of a rectangle is 10 cm and its breadth is 4 cm. Find the perimeter and area of both the square and rectangle
Find the area of the rectangle whose sides are:
12 m and 21 m
Find the area of the rectangle whose sides are:
2 km and 3 km
By splitting the following figure into rectangles, find their areas (The measures are given in centimetres).
How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are:
70 cm and 36 cm
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?
In a park of dimensions 20 m × 15 m, there is a L shaped 1 m wide flower bed as shown in the figure. Find the total cost of manuring for the flower bed at the rate of Rs 45 per m2.
The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide.
Find the following:
- Cost of paving the path with bricks at rate of ₹ 120 per m2.
- Cost of wooden flooring inside the house except the bathroom at the cost of ₹ 1200 per m2.
- Area of Living Room.
