The difference between the length and the breadth of a rectangle is 16 cm. If its perimeter is 188 cm, then what is its area?
Answer & explanation
Correct answer: option 2
We know that,
Area of rectangle = Length × Breadth
The perimeter of rectangle = 2(L + B)
We have,
The difference between the length and breadth of a rectangle = 16 cm.
Perimeter = 188 cm
According to the question,
The difference between the length and breadth of a rectangle is 16 cm
= L – B = 16 ----(A)
= 2(L + B) = 188 cm
= L + B = 94 cm ----(B)
From equation (A) and (B)
= 2L = 110
= L = 55 cm
Put the value of L in Equation (B)
= B = 94 – 55 = 39 cm
Area of rectangle = = 39 × 55 = 2145 cm2