The length of a rectangle is 16, the breadth of a rectangle is 12 and the diagonal of a rectangle is 20.
Given that, the length of a rectangle=x+11, breadth of rectangle=x + 7 and diagonal of rectangle=4x.
Use the Pythagoras theorem to find the length of the diagonal of the rectangle, which is d² = l² + b²
Now, 4x²=(x+11)²+(x+7)²
⇒16x²=x²+22x+121+x²+14x+49
⇒14x²-36x-170=0
⇒7x²-18x-85=0
⇒x=5 and x=-17/7
Since length can not be a negative integer, we consider x=5.
Now, the length of a rectangle=16, breadth of rectangle=12 and diagonal of a rectangle=20
Therefore, the length of a rectangle is 16, the breadth of a rectangle is 12 and the diagonal of a rectangle is 20.
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