Question

sanjeev alternated the house one,thus moving to house two .The breadth is increased 4m .The perimeter of triangular part is increased by 20m and the length of equal sides is 15m each.find the length of rectangular part ​

Answer 1

Answer:

The perimeter (P) is simple—it’s just the sum of the sides, let’s call them a=15m, b=20m and c=25m, that is:

P=a+b+c

=(15m)+(20m)+(25m)

=60m.

The area is a little more complicated, but there’s something called Heron’s formula for calculating the area of a triangle. Let’s define a quantity:

S=(a+b+c)/2

=((15m)+(20m)+(25m))/2

=30m.

Then the area, A, is

A=sqrt(S(S-a)(S-b)(S-c)) (This is Heron’s Formula.)

=sqrt((30m)(30m-15m)(30m-20m)(30m-25m))

=sqrt((30m)(15m)(10m)(5m))

=sqrt(22,500m^4)

=150m^2.