Answer:
Length = 11" and width = 8".
Step-by-step explanation:
let L be the length of the rectangle
and w be its width.
Formula (perimeter P of a rectangle) :
P = 2 × (L + w)
================================
Then
L = w + 3
and
P = 2 × (L + w)
= 2 × (w + 3 + w)
= 2 × (2w + 3)
= 4w + 6
Solving the equation P = 4w + 6 for w :
P = 4w + 6
⇔
38 = 4w + 6
⇔
32 = 4w
⇔
w = 32 ÷ 4
= 8
Determining the length L :
L = w + 3
⇔
L = 8 ÷ 3
= 11
Conclusion:
L = 11 and w = 8
Answer:
Width = 8"
Step-by-step explanation:
2(t+w) = 38 Eq. 1
t = w+3 Eq. 2
t = length
w = width
From Eq. 2:
t+w = 38/2
t+w = 19
t = 19 - w Eq. 3
Replacing Eq. 3 in Eq. 2:
19 - w = w + 3
19 - 3 = w + w
16 = 2w
16/2 = w
w = 8
Frm Eq. 2:
t = w + 3
t = 8 + 3
t = 11
Check:
From Eq. 1
2(t+w) = 38
2(11+8) = 38
2(19) = 38
