Page 149 - Maths Skills - 7

Perimeter and Area 147

SUBJECTIVE TYPE QUESTIONS 4. There is a rectangular plot of 75.5 m by 32.5 m.
Two crossroads each 3.5 m wide run across in
F. Solve the following word problems the middle of the plot, one parallel to the length
1. The length and breadth of a plot are in the ratio and the other parallel to the breadth. Find the total
of 5 : 3 and its perimeter is 320 m. A 3 m wide area of the crossroads and cost of levelling the
path runs along the inside boundary. Find the remaining portion of the plot at ` 2.50 per sq m.
cost of paving the path at ` 2.5 per sq m. 5. The lengths of the two parallel sides of a

2. Find the cost of paving a pathway 1.5 m trapezium are 10 cm and 14 cm. If the distance
wide immediately outside a flower garden between them is 8 cm, find the area.
25 m × 12 m at ` 22 per m . 6. One diagonal of a quadrilateral is 8 cm. If the
2
3. A poster of size 12 cm × 10 cm is pasted on a length of the perpendiculars drawn from the
sheet of cardboard such that there is a margin of opposite vertices are 4 cm and 6 cm, then find
width 1.5 cm along each side of the poster. Find the area of the quadrilateral.
(i) the total area of the margin; and 7. The area of a rhombus is 144 cm . If the length
2
(ii) the cost of the cardboard used at the rate of of one of the diagonals is 18 cm, then find the
` 0.75 per cm . length of the other diagonal.
2

INTEGRATED QUESTION

G. Architecture Vs Maths

The municipal corporation of a city is planning to make a park in the city.

1. The park will have a water pond in the shape of the
rectangle. The side of the pond will be 8 metres and
width will be 5 metres. It will have a square shape pond
on the other side as shown in the picture. The one side
of this pond will be 2 metres. Find the total area of the
both ponds.
2. A circular swimming pool with circumference of 440 m
also needs to be made. To make it the floor of the pool
has to be tiled. If the cost of the tiling is ` 300 per metre
square, find the cost of tiling the swimming pool floor.
3. The park will also have a parking space. Each side of
space will have area of 15 square metre. What will be
its dimension?

HOTS

1. The floor of a hall which is 7.2 m long and 5.8 m wide is to be constructed using square tiles measuring
20 cm × 20 cm. Find the number of tiles required to cover the floor. Also find the cost of tiles at the rate of
` 276 per dozen.

2. A room is 5.8 m long, 4.2 m wide and 3.2 m high. It has one door measuring 1.2 m × 2.5 m and three windows
each measuring 1 m × 0.75 m. Find the cost of whitewashing its walls at the rate of ` 30 per square metre.