Advertisements
Advertisements
Question
The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. Cheggu was happy. He took 100 meters of wire and tried to make different rectangles.
He made a 10 m × 40 m rectangle. Its area was 400 square meters. So he next made a 30 m × 20 m rectangle.
- What other rectangles can he make with 100 meters of wire? Discuss which of these rectangles will have the biggest area.
Advertisements
Solution
Following rectangles are possible:
5 m × 45 m = 225 square m
15 m × 35 m = 525 square m
25 m × 25 m = 625 square m
The square will have the biggest area.
APPEARS IN
RELATED QUESTIONS
Let ABCD be a parallelogram of area 124 cm2. If E and F are the mid-points of sides AB and
CD respectively, then find the area of parallelogram AEFD.
If ABC and BDE are two equilateral triangles such that D is the mid-point of BC, then find ar (ΔABC) : ar (ΔBDE).
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is
Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is
In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =

Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
The sides of a rectangular park are in the ratio 4 : 3. If its area is 1728 m2, find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹40 per meter.
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
Find the area of a rectangle whose length = 8.5 m breadth = 5 m.
Find the area of a square, whose side is: 7.2 cm.
The side of a square is 3.6 cm; find its area.
Each side of a square is 7 m. If its each side be increased by 3 m, what will be the increase in its area.
Length of a rectangle is 30 m and its breadth is 20 m. Find the increase in its area if its length is increased by 10 m and its breadth is doubled.
By counting squares, estimate the area of the figure.

Find the area and perimeter of the following parallelograms
This stamp has an area of 4 square cm. Guess how many such stamps will cover this big rectangle.

What is the area of the rectangle? ________ square cm
If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- 352 children from a school went on a camping trip. Each tent had a group of 4 children.
a) How many children did each tent have? b) How many tents do they need? c) How many children in all are in the school?
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- A shopkeeper has 204 eggs. He puts them in egg trays. Each tray has 12 eggs.
a) How many more eggs will he need? b) How many fresh eggs does he sell? c) How many egg trays does he need?
Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Which unit is used to express area?
