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
In the below fig. ∠AOB = 90°, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of
ΔAOB.
ABCD is a parallelogram. E is a point on BA such that BE = 2 EA and F is a point on DC
such that DF = 2 FC. Prove that AE CF is a parallelogram whose area is one third of the
area of parallelogram ABCD.
In the below fig. X and Y are the mid-points of AC and AB respectively, QP || BC and
CYQ and BXP are straight lines. Prove that ar (Δ ABP) = ar (ΔACQ).
If ABC and BDE are two equilateral triangles such that D is the mid-point of BC, then find ar (ΔABC) : ar (ΔBDE).
P is any point on base BC of ΔABC and D is the mid-point of BC. DE is drawn parallel toPA to meet AC at E. If ar (ΔABC) = 12 cm2, then find area of ΔEPC.
In a ΔABC, D, E, F are the mid-points of sides BC, CA and AB respectively. If ar (ΔABC) = 16cm2, then ar (trapezium FBCE) =
In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) =
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) =
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to ______.
The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6: 5: 4. Find the lengths of its sides.
Let the sides be x cm, y cm, and (37 - x - y) cm. Also, let the lengths of altitudes be 6a cm, 5a cm, and 4a cm.
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
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.
Find the area of a rectangle whose length = 3.6 m breadth = 90 cm
The side of a square field is 16 m. What will be increase in its area, if each of its sides is increased by 4 m?
By counting squares, estimate the area of the figure.
Find the area and perimeter of the following parallelograms
Look at a 10 rupee note. Is its area more than hundred square cm?
Is the area of the blue shape more than the area of the yellow shape? Why?
Who had the bigger piece? How much bigger?
Is the area of your belt the same as the area of the postcard? Why or why not?
Nasreena is a farmer who wants to divide her land equally among her three children — Chumki, Jhumri, and Imran. She wants to divide the land so that each piece of land has one tree. Her land looks like this.
- Can you divide the land equally? Show how you will divide it. Remember each person has to get a tree. Colour each person’s piece of land differently.
Look at the table. If you were to write the area of each of these which column would you choose? Make a (✓).
| Square cm |
Square meter |
Square km |
|
| Handkerchief | ✓ | ||
| Sari | |||
| Page of your book | |||
| School land | |||
| Total land of a city | |||
| Door of your classroom | |||
| Chair seat | |||
| Blackboard | |||
| Indian flag | |||
| Land over which a river flows |
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?
In the following figure, the area of parallelogram ABCD is ______.
An engineer who plans to build a compound wall on all sides of a house must find the area of the compound.
Find the area of the following figure by counting squares:
Find the area of the following figure by counting squares:
