Problem Solving (PS) | Re: In the given figure ABCD is a rectangle and the side lengths are integ

In the given figure ABCD is a rectangle and the side lengths are integers. The perimeter of the rectangle is 48 and AB is parallel to the x-axis. If AB – BC < 4, which of the following can be the co-ordinate of C?

I. (16, 17)

II. (16, 15)

III. (17,16)

A. I only

B. II only

C. III only

D. I and III

E. I , II, andIII[/quote]

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2*(AB+BC) =48..So, (AB+BC)=24...i.e., BC=24-AB..eqn 1
Given, AB-BC < 4
substituting eqn 1...
AB-(24-AB) < 4
AB<14.

Now, as sides are integers(given), max
...

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