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Question

Construct a rectangle WXYZ in which WX=7 cm and XY=4 cm. Find the length of its diagonal.

A
65 cm
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B
64 cm
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C
56 cm
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D
None of these
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Solution

The correct option is A 65 cm
Draw a line segment WX=7cm
Construct an angle of 90 at points W and X.
Cut off WZ=4cm and XY=4cm
Join YZ and WY
Thus, WXYZ is a required rectangle.
We know that all four angles in rectangle is 90.
In right angled WXY
WY2=WX2+XY2 [Pythagoras theorem]
WY2=72+42
WY2=49+16
WY2=65
WY=65cm
Length of diagonal is 65cm

824498_585166_ans_8158733c9e0c4c049f9fdee97409896c.png

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