Advertisements
Advertisements
Question
Is the area of your belt the same as the area of the postcard? Why or why not?
Advertisements
Solution
Area of the belt of 3 cm wide strip = length x breadth
= 3 × 42
= 126 square cm
Yes, this is equal to the area of the postcard.
In fact, area of all the belts would be equal to the area of the postcard; because every part of the postcard is being used in making a belt.
APPEARS IN
RELATED QUESTIONS
Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that:
ar(ΔAPB) × ar(ΔCPD) = ar(ΔAPD) × ar (ΔBPC)
If P is any point in the interior of a parallelogram ABCD, then prove that area of the
triangle APB is less than half the area of parallelogram.
In below fig., PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove
that ar (Δ PQE) = ar (ΔCFD).
ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AErespectively. IF area of ΔABC is 16 cm2, find the area of ΔDEF.
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.
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is
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) =
ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =
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
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 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) =
The medians of a triangle ABC intersect each other at point G. If one of its medians is AD,
prove that:
(i) Area ( ΔABD ) = 3 x Area ( ΔBGD )
(ii) Area ( ΔACD ) = 3 x Area ( ΔCGD )
(iii) Area ( ΔBGC ) = `1/3` x Area ( ΔABC ).
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.
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.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
Find the area and perimeter of the following parallelograms
Which has the smaller area - two five-rupee notes together or a hundred rupee notes?
Look at a 10 rupee note. Is its area more than hundred square cm?
Parth and Gini bought aam papad (dried mango slice) from a shop. Their pieces looked like these. Both could not make out whose piece was bigger.
- Suggest some ways to find out whose piece is bigger. Discuss
Who had the bigger piece? How much bigger?
Measure the length of the floor of your classroom in meters. Also, measure the width.
- What is the area of the floor of your classroom in square metres?
Measure the length of the floor of your classroom in meters. Also, measure the width.
- So how many children can sit in one square meter?
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.
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 is its area? Is it more than the first rectangle?
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?
How will you decide? Discuss.
Find the area of the following figure by counting squares:
Which unit is used to express area?
If a figure contains only 8 fully-filled squares and no partial squares, what is its area?
