Question

is it possible to draw a rectangle with perimeter 48cm and area 150sqcm2?why

Answer 1

since
2(l+b)=48 cm,

l+b=24 cm,

also

l×b=150 cm,

(l-b)²=(l+b)²-4lb,

(l-b)²=24²-4×150,

(l-b)²=576-600,

(l-b)²=-24,

then

(l-b)=√(-24),

l-b=4×6i,

where i is an imaginary number, then it is not possible but if the perimeter is 50 cm then we can draw the rectangle.....