Question

if perimeter of square and rectangle is equal. if length and width of rectangle are 12 cm and 10 cm respectively. the area of square is what % more than that of rectangle.

Answer 1

might be twenty percent

Answer 2

a/c to question,
perimeter of square = perimeter of rectangle
Let side length of square is a
length of rectangle is L
and breadth of rectangle is B.

given, L = 12cm and B = 10cm

so, 4 × a = 2(L + B) [ from formula of perimeter of square and rectangle ]

4 × a = 2(12 + 10)

4a = 44 => a = 11cm

so, area of square = a² = 11² = 121cm²

and area of rectangle = L × B = 12 × 10 = 120cm²

now , area of rectangle + x % of area of rectangle = area of square
120 + x × 120/100 = 121
120 + 1.2x = 121
1.2x = 121 - 120 = 1
x = 1/1.2 = 5/6 %

hence, area of square is 5/6 % more than area of rectangle.