Question

A rectangle has a length of k cm (where k is an integer) and width of k +3cm. the perimeter of this rectangle is less than 24cm.

form and solve an inequality and find the largest possible value of k.​

Answer 1

So our unknown width is X and the unknown length is X + 3. We know the perimeter is 2 times the length plus 2 times the width so let's set up that equation:

2 X + 2 (X+3) = 24

Now solve for X

2 X + 2 X + 6 = 24

4 X + 6 = 24

4 X = 18

X = 4.5 - this is the width

X + 3 = 4.5 + 3 = 7.5 - this is the length

Explanation: