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?

2145 cm²

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