Advertisements
Advertisements
Question
Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?
Advertisements
Solution
Given, dimensions of a rectangular field 32 m × 26 m.
And area increased = 650 m2
∴ Increased area of wheat field = Area of EFGH – Area of ABCD wheat field
⇒ 650 = EF × EH – AB × AD ...[∵ Area of rectangle = Length × Breadth]
⇒ 650 = EF × 26 – 32 × 26
⇒ 650 = 26EF – 832
⇒ 1482 = 26EF
⇒ EF = 57 m
Hence, the length of the expanded wheat field is 57 m.
APPEARS IN
RELATED QUESTIONS
The area of a rectangle is 102 sqcm. If its length is 17 cm, what is its perimeter?
The area of a rectangular piece of cardboard is 36 sq cm and its length is 9 cm. What is the width of the cardboard?
The side of a square is 4 cm. The length of a rectangle is 8 cm and its width is 2 cm. Find the perimeter and area of both figures.
What will be the labour cost of laying the floor of an assembly hall that is 16 m long and 12 m wide if the cost of laying 1 sq m is 80 rupees?
Find the area of the following rectangle
length = 7 m and breadth = 4 m
Find the area of the following rectangle
length = 9 m and breadth = 6 m
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
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.
Split the following shape into rectangle and find their area. (The measures are given in centimetres).
Priyanka took a wire and bent it to form a circle of radius 14 cm. Then she bent it into a rectangle with one side 24 cm long. What is the length of the wire? Which figure encloses more area, the circle or the rectangle?
