A Rectangle auditorium seats 1581 people. The number of seats in each row exceeds the number of rows by 20.Find the number of seats in each row.

Question

A Rectangle auditorium seats 1581 people. The number of seats in each row exceeds the number of rows by 20.Find the number of seats in each row.

Answer 1

Let the number of rows be x

number of seats in each row = x+20

x(x+20)=1581

x^2+20x-1581=0

Solving, we get

(x+51)(x-31)=0

x=31,x-51

we have to take only positive value for x as the number of rows can’t be negative.

that gives the number of rows.

so number of seats =31+20=51

hope this helps!

Answer 2

r(r + 20) = 1581

Can you solve for r and answer?