Question

Area of a rectangle Is 221 sq cm. The length of the one side is 4 more than the other side. ¡) If the small side 'x' then write the equation connecting sides and area. ¡¡) what are the sides of the rectangle?

Answer 1

Answer:

shorter side, b=x

longer side, l=x+4

area of rectangle=221cm²

area of rectangle=lb

i) 221=(x+4) x

x²+4x-221=0

x²+17x-13x-221=0

x(x+17) -13(x+17) =0

(x-13) (x+17) =0

x=13

x=-17,which is not possible side cannot be negative

so, shorter side of rectangle=13cm

longer side of rectangle=x+4=13+4=17cm