Question

PAINTING
Seema is a painter. She has exhibited many paintings. She is putting up one of her
painting in her living room. Suppose there is a grid on the wall where each unit measures
an inch. The painting in the frame is represented by the inner square and the frame is
represented by the outer square. Seema places a nail so that it lies half way across the
top of the frame.
Question 1:
If upper left corner of frame is at (1,8) and upper right corner of frame at (7,8). What will be the coordinate
of the nail placed by Seema.
Question 2:
A B
D C
Seema’s friend Meera said that the bottom left corner of your frame is at (1,2). What will be the
coordinate of bottom right corner?
Question 3:
Seema wants her painting to be safe and free from dust. So she covered it while going for vacations. What
will be the area of paper used while covering the painting?
Question 4:
If a mirror is placed along with the side BC of frame, what will be the coordinates of B and C as seen
in the reflection

Answer 1

Answer:

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Answer 2

Given : Painting and frame are square  

upper left corner of frame is at (1,8) and upper right corner of frame at (7,8).

Seema places a nail so that it lies half way across the top of the frame.

To Find :  coordinate of the nail placed by Seema.

coordinate of bottom right corner

area of paper used while covering the painting

Solution:

upper left corner of frame is at (1,8)

upper right corner of frame at (7,8).

a nail so that it lies half way across the top of the frame.

Hence coordinate = ( 1 + 7)/2 , ( 8 + 8)/2

= 4 , 8

coordinate of the nail placed by Seema  = ( 4 , 8)

width of frame =  6 unit     √( 7 - 1)² + (8-8)²

so length of frame = 6 unit  as its a square

so Bottom left corner would be  ( 1, 2)     as its bottom so it can not ( 1 , 14)

and Bottom right corner of frame at (7,2).

Area of paper used = 6 * 6 = 36 sq inches

A ( 1 , 8)         B ( 7 , 8)

D( 1 , 2)          C  ( 7 , 2)

Mirror placed along BC  coordinates of B and C  will be same in reflection

But coordinate of A will be  ( 13 , 8)  and  D will be ( 13 , 2)

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