The length of a rectangle is 3 inches more than 4 times the width. the perimeter is 116 inches. find length and width

the equation for perimeter is p=2l+2w. "l" represents length and "w" represents width. you know that the perimeter is 116 so 116=2l+2w. now, you also know that the length is 4 times the width plus three more inches, which can be written as l=4w+3. you can use substitution and put "4w+3" in for l in the equation "116+2l+2w" since they equal each other.

116=2(4w+3)+2w

116=8w+6+2w

116=10w+6

110=10w

11=w

now that you know the width, you can find length by putting 11 in for w in "116=2l+2w"

116=2l+2(11)

116=2l+22

94=2l

47=l          

the length is 47in and the width is 11in. i hope i could ! if you have questions, feel free to ask and i will try my best ; )

3+x

step-by-step explanation:

step-by-step explanation:

infinity is the answer