Question

the length of a rectangular frame is 6 cm more than 9 times their sum. find the integers.

Answer 1

????
Pls check if u hv typed the question as it is given in book or have u missed something....

Answer 2

oh wow, yes i did. the length of a rectangular frame is 6cm more than the width. the area inside the frome is 55sq cm. find width of frame.

Answer 3

Let width = x cm
then length = (x + 6) cm
area of rectangle = length * width
ATQ
55 = (x + 6)(x)
55 = x^2 + 6x

x^2 + 6x - 55 = 0
x^2 + 11x - 5x - 55 = 0
x(x + 11) -5(x + 11) = 0
(x - 5)(x + 11) = 0
if x - 5 = 0, then x = 5
if x + 11 = 0, then x = -11

but length can never be negative, so x = 5 is the right value

so width = x cm = 5 cm
length = (x+6) cm = (5+6) cm = 11 cm