The perimeter of a rectangle is 22 cm and its area is 28 cm2. Find the length of its shorter side (in cm).
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4
The perimeter gives the sum of length and breadth, and the area gives their product; two numbers with that sum and product are the sides.
\(2(l+b)=22\), so \(l+b=11\)
\(l\times b=28\)
The numbers with sum 11 and product 28 are 7 and 4
The shorter side is 4 cm