Question

the width of a rectangle is fixed at 6cm. Determine those lengths for which the area will be less than 126 square cm.

Answer 1

well if the length is 21 the area is

6 x 21 = 126 cm^2

so 21 is the upper limit of your measurements for length.

You just need an inequality to represent it

hope this helps

Answer 2

The area of a rectangle is given by the formula
A = LW
where A = area, L = length and W = width
We can solve the equation for L,
A = LW
LW = A
We know W = 6 and we want the area to be less then 126, so we write
L(6) < 126
L < 126/6
L < 21

Answer 3

so can the length be 21...

that will help with the inequality

Answer 4

Area of this rectangle is 6 multiplied by some length x. And 6x has to be less 126cm^2. We can put this in an inequality to solve for x:

6x < 126
x < 126/6
x < 21

But remember, since we are dealing with a length here, the length must be a positive number. Thus the possible values of length x are in the interval: 0 < x < 21

Answer 5

oh ok 21 is the answer than i guess my answer was wrong.