Question

You are fencing a rectangular garden at your house. The length of the rectangle is 3 more than the width. The perimeter of the rectangular garden can be no more than 40 feet. What are the dimensions of the rectangular garden? Solve with inequality

Answer 1

Hi...

Answer 2

Any work on this so far ?

Answer 3

yes

Answer 4

Can we suppose L be length and W be width of the rectangle ?

Answer 5

We have given L = W + 3. right ?

Answer 6

yes

Answer 7

Now we have perimeter = L + W. right ?
so we get (W + 3) + W = 40. right ?

Answer 8

ok..

Answer 9

Now adding like terms we get 2W + 3 = 40. right ?

Answer 10

ok but what would be the inequality?

Answer 11

Inequality is for length is 3 more than width this means L > W + 3. got it now ?

Answer 12

yes

Answer 13

So by adding -3 on both side we get 2W = 37. right ?

Answer 14

yes

Answer 15

dividing both side by 2 we get W = 37/2. okay ?

Answer 16

ok..

Answer 17

So your width should be 37/2. Okay ?

Answer 18

Now plug W = 37/2 in L = W + 3 to get the value of L. ok??

Answer 19

L = 37/2 + 3 = 43/2. Okay ?

Answer 20

So your dimentions must be length is 43/2 feet and width is 37/2 feet. Okay ?

Answer 21

okay thanks

Answer 22

you are most Welcome :)
Have a nice day ahead...!

Answer 23

okay you too

Answer 24

Good bye :)

Answer 25

byee