Doubling the Area of a Square (Paper Folding)

Q. If the base of a right angled triangle is 8cm and the hypotenuse is 17cm , find its area.

Q. What is meter square?

Q.

Find the area of a right triangle whose base is 1.2 metre and the hypotenuse is 3.7 metre.

Q.

When two squares of the same size are joined to make a large square, find the length of the side of the large square.

1. The length of the diagonal of the larger square

2. Same as the length of the side of the smaller square

3. Double the length of the side of the smaller square

4. The length of the diagonal of the smaller square

Q.

Question 1 (c)
State whether true or false.

(c) All squares are rhombuses and also rectangles.

Q. The quadrilateral formed when two 30, 60, 90 degree set squares are put together is

1. square
2. rectangle
3. rhombus

Q.

Find the area of square field whose each side is 11/2 m.

Q. Each side of a square field is $4\frac{2}{3}$ m. Find its area.

Q. The quadrilateral formed when two 45, 45, 90 degree set squares are put together is

1. recatngle
2. square
3. rhombus

Q.

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then the area of the small square(hole) in the second figure is ____.

1. $\text{4 sq.units}$

2. $\text{16 sq.units}$

3. $\text{2 sq.units}$

4. $\text{9 sq.units}$

Q.

Compare the area of :

$(a)$ square of $35.2cm$ $(b)$ rectangle of $20cm$and $10.5cm$

Q.

A square is cut along its diagonal to form four triangles and these are arranged on another square of same area to form a larger square. The area of the larger square is 64 sq.units. Then the area of the original square is ___.

,

1. 32 sq.units

2. 14 sq.units

3. 16 sq.units

4. 64 sq.units

Q.

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.

1. 100 sq.units

2. 128 sq.units

3. 102 sq.units

4. 112 sq.units

Q.

A square of a area 5 sq.units is cut along its diagonal as four triangles and these are arranged on another square of 5 sq.units to form a larger square. Then the area of the larger square is ___.

1. 25 sq.units

2. 10 sq.units

3. 5 sq.units

4. 50 sq.units

Q.

A square is cut along its diagonal into four triangles and these are arranged on another square of same area to form a larger square of area 34 sq.units.Then the area of the original square is

1. 34 sq.units

2. 68 sq.units

3. 17 sq.units

4. 10 sq.units

Q.

A square is cut along its diagonal into four triangles and these are arranged on another square of same area to form a larger square. The area of the larger square is 32 sq.units. Then the area of the original square is _____.

,

1. 32 sq.units

2. 16 sq.units

3. 14 sq.units

4. 8 sq.units

Q. What is the perimeter of a rectangle, whose all sides are equal ?

1. side x side
2. side + side
3. 4(side)
4. 4 + side

Q. A square is cut along its diagonal to form four triangles and these are arranged on another square of same area to form a larger square.The area of the larger square is 100 sq.units. Then the area of the original square is______.

1. 50

Q. Two squares of side 5 cm are combined into one square. What is its area (in sq cm)?​

1. 20
2. 25
3. 50
4. 40

Q.

A Square is cut along its diagonal as four triangles and these are arranged on another square of the same area to form a larger square of area 16 sq.units. Then find the area of the smaller square.

1. 4 sq.units

2. 80 sq.units

3. 8 sq.units

4. 16 sq.units

Q. Two equal squares are joined to make a square of area 48 sq cm. The small square's area is:

1. 36 sq cm
2. 24 sq cm
3. 30 sq cm
4. 18 sq cm

Q.

If the edge length of a square is 6 unit, the area of the square is ___ square units.

Q.

When two squares of area 5 cm are joined in order to form a larger square, the area of the larger square is:

1. 25 sq.cm

2. 52 sq.cm

3. 50 sq.cm

4. 5 sq.cm

Q.

A square of a area 9 sq.units is cut along its diagonal to form four triangles and these are arranged on another square of 9 sq.units to form a larger square.Then the area of the larger square is

1. 3 sq.units

2. 18 sq.units

3. 27 sq.units

4. 81 sq.units

Q. Fill in the blanks.

(i) If d₁ and d₂ be the diagonals of a rhombus, then its are is (......) sq units.
(ii) If l, b and h be the length, breadth and height respectively of a room, then area of its 4 walls = (......) sq units.
(iii) 1 hectare = (......) m².
(iv) 1 are = ......m².
(v) If each side of a triangle is a cm, then its area = ...... cm².

Q. How many squares of side 3 cm are needed to form a bigger square of area 45 sq cm?

1. 2
2. 3
3. 4
4. 5

Q.

Now can you draw a square of area 11 square centimeters?

Q.

When two squares of area 5 sq.cm are joined to make a larger square, the length of the side of the larger square is

1. 5 X Sq.root 3

2. 5 X Sq.root 2

3. 4 X Sq.root 2

4. 2 X Sq.root 5

Q.

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then the area of the big square in the second figure is ____.

1. 43 sq.units

2. 34 sq.units

3. 23 sq.units

4. 42 sq.units

Q. In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then the area of the small square(hole) in the second figure is ___.

1. 4