Area of Rectangle

Q.

Question 55

Fill in the blanks to make the statement true.

Area of a square of side 6 m is equal to the area of ___ squares of each side 1 cm.

Q. Question 14

Side of a square garden is 30 m. If the scale used to draw its picture is 1 cm : 5 m, the perimeter of the square in the picture is
(a) 20 cm
(b) 24 cm
(c) 28 cm
(d) 30 cm

Q. A rectangle whose area is 180m^2 has its sides diminishes by 7m and 4m so as to become a square. Find the side of the square

Q. Yhe dimensions of an oil tin are 15cm×8cm×25cm.find the area of the tin sheet required for making 40 tins .if 1square metering tin cost rupees 15, find the cost of tin used for these 40 tins

Q. Question 1 (ii)
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:
(ii)The cost of the sheet for it, if a sheet measuring $1m^2$ costs Rs. 20.

Q. 6. The floor of a rectangular hall has a perimeter 260 M the cost of painting the four walls at the rate of 10 rupees per metre square is 13000 rupees find the height of hall

Q. Find the lateral surface area and total surface area of a cuboid of length $80cm$, breadth $40cm$ and height $20cm$.

Q. A rectangular courtyard is 18 m 72 cm long and 13 m20 cm broad. It is to be paved with square tiles of thesame size. Then the least number of such tiles required is

Q. AThe area of the four walls of a room whose length is 6 m, breadth is 5 m and height is 4 m is

Q. 19. If the length of a rectangular farm and its breadth are in the ratio of 5:4 and the area of the farm is 13520 m square, find the cost of fencing the farm at the rate of rupees 15 per meter.

Q.

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 𝑐𝑚, 10 𝑐𝑚 and 6 𝑐𝑚. Find the area of the triangle.

Q. Volume of cuboid is

1. side $\times$ side
2. $l\times b\times h$
3. side $+$ side $+$ side
4. $l\times b$

Q. Question 7
The dimensions of a rectangle ABCD are 51cm x 25 cm. A trapezium PQCD with its parallel sides QC and PD in the ratio 9:8, is cut off from the rectangle as shown in the figure. If the area of the trapezium PQCD is $\frac{5}{6}$ th part of the area of the rectangle. Find the lengths QC and PD.

Q. In the canter of a rectangular lawn of dimension 50×40m, a rectangle pond has to be constructed so that the area of grass surrounding the pond would be 1184 sq. m. Find the length and breadth of the pond.

Q. Construct a rectangle $ABCD$, when its sides are $6.0cm$ and $7.2cm$.

Q.

What is the area of a pizza that has a diameter of 14 inches? (Take pi = 22/7)

1. 97 Square Inches

2. 154 Square Inches

3. 185 Square Inches

4. 87 Square Inches

Q. The floor of a rectangular room has a perimeter 40m. If the cost of painting the
four walls at the rate of Rs. 25 per m2 is Rs. 1800. Find the height of the wall?

Q. Sum of areas of two squares is 400 sq. Cm. If the difference tpof their perimeter is 16 cm, find the sides of squares.

Q. If A = {b, e, f, g} and B = {c, e, g, h} then verify the commutative property of (i) union of sets (ii) intersection of sets.

Q. Construct a rectangle ABCD whose one side BC = 4.5 cm and diagonal AC = 6 cm.

Q. Area of a rectangle is 630 sq cm and its breadth 15 cm Then its length is

1. $40$ cm
2. $60$ cm
3. $35$ cm
4. $42$ cm