Question

the area of a rectangular field is (a^2-19a+90) square units. Find the width of the rectangle if its length is (a- 9) units

Answer 1

(a-10) because if we divide it by (a-9) it gives the result

Answer 2

a²-19a+90

=(lcm of 90= 5×3×3×2=10 × 9)

a²-10a-9a+90

=a(a-10)-9(a-10)

=(a-9)(a-10)

therefore if (a-9) is the length then (a-10) is the breadth.