What are dimensions of a square whose area is equal to that of a rectangle of dimensions (7 cm×4 cm). [Use Construction]
What are dimensions of a square whose area is equal to that of a rectangle of dimensions (7 cm×4 cm). [Use Construction]
The correct option is B 5.3
Methods of Construction:
i) Let us draw a rectangle ABCD, length of which is AB = 7 cm and breadth BC = 4 cm.
ii) DC is extended to 4. The part CR is cut off from CY equal to 4 cm such that CR = 4 cm.
iii) Draw perpendicular bisector PQ of DE. PQ intersects DC at M.
iv) Draw a semi circle with centre at M and radius equal to DM or MR.
v) Draw a perpendicular CG on CR at the point C. Let CG intersect the semi circle at G.
vi) Draw two arcs simultaneously in the same side of GC by taking centres at C and G respectively and with radius equal to CG.
vii) Join E, F and G, F
viii) CEFG is the required square to be drawn.
Length of this square is 5.3 cm approximately.
5.3
Methods of Construction:
i) Let us draw a rectangle ABCD, length of which is AB = 7 cm and breadth BC = 4 cm.
ii) DC is extended to 4. The part CR is cut off from CY equal to 4 cm such that CR = 4 cm.
iii) Draw perpendicular bisector PQ of DE. PQ intersects DC at M.
iv) Draw a semi circle with centre at M and radius equal to DM or MR.
v) Draw a perpendicular CG on CR at the point C. Let CG intersect the semi circle at G.
vi) Draw two arcs simultaneously in the same side of GC by taking centres at C and G respectively and with radius equal to CG.
vii) Join E, F and G, F
viii) CEFG is the required square to be drawn.
Length of this square is 5.3 cm approximately.
