Question

Length is 13m more then it's be has a perimeter 170m a square has its area equal to area of the rectangle find the perimeter of the square

Answer 1

Answer- 168m

Length=breadth+13     (given)

perimeter=2×(l+b)=170               (given)

by replacing l=b+13

=>2×(b+13+b)=170

=>2×(2b+13)=170

opening the bracket

=>2×2b+2×13=170

=>4b+26=170

=>4b=170-26

=>4b=144

=>b=144/4=36m

=>l=b+13=36+13=49

so now that we found breadth and length, we can find area by formula

=>l×b=area

=>area =36×49=1764sq.m

area of rectangle = area of square

area of square = 1764sq.m

area of square = side×side

side×side =1764sq.m

side² =1764

side =√1764

side =42m

perimeter ofsquare = 4×side

=>4×42=168m