Question

1. In Green Park New Delhi Ramesh is having a rectangular plot OBCD shown in the figure.
sapling of Gulmohar in planted on the boundary at a distance of 1 m from each other. In
the plot, Ramesh builds his house in the rectangular area PQRS. In the remaining part of
the plot. Ramesh wants to plant grass.
B
4445
0 What is the co-ordinates of vertices Pants Sof rectangle?
@ What is the co-ordinates of mid-point ofçiagonal QS ?
(m) What is the area of rectangle PQRS?
(iv) What is the co-ordinates of vertices and of rectangle PQRS?
(v) What is the perimeter of rectangle QRS ?

Answer 1

Solution :-

(i)

→ Coordinates of P = (3,6)

→ Coordinates of S = (3,2)

Option (d) .

(ii)

→ Mid point of Q(10,6) and (3,2) = (10+3)/2 and (6 + 2)/2 = (13/2) , 4 (a)

Option (a)

(iii)

→ Coordinates of R = (10,2)

→ Coordinates of Q = (10,6)

Option (c)

(iv)

→ PS = √[(3 - 3)² + (6 - 2)²]

→ PS = √(0 + 4²)

→ PS = 4 m

and,

→ PQ = √[(3 - 10)² + (6 - 6)²]

→ PQ = √{(-7)² + 0}

→ PQ = √(49)

→ PQ = 7 m

So,

→ Area PQRS = PS * PQ = 4 * 7 = 28 m²

Option (a)

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Answer 2

Answer:

1

Step-by-step explanation:

1

p..

s,.

q..

r...

2

13/2,4

3

28