Answer:
Length = 13 in
Width = 10 in
Step-by-step explanation:
Let L be the length.
Let W be te width.
From the question given above, the Lenght is 3 more that the width i.e
L = 3 + W
Next, we shall determine the width (W). This can be obtained as follow:
Length (L) = 3 + W
Width (W) = W
Area (A) = 130 in²
A = L × W
130 = (3 + W) × W
Clear bracket
130 = 3W + W²
Rearrange
W² + 3W – 130 = 0
Solving by formula method
W = –b ± √(b² – 4ac) / 2a
a = 1
b = 3
c = –130
W = –3 ± √(3² – 4 × 1 × –130) / 2 × 1
W = –3 ± √(9 + 520) / 2
W = –3 ± √(529) / 2
W = –3 ± 23 / 2
W = –3 + 23 / 2 or –3 – 23 / 2
W = 20/2 or –26/2
W = 10 or –13
Since measurement can not be negative, the width is 10 in.
Finally, we shall determine the length. This can be obtained as follow:
L = 3 + W
W = 10
L = 3 + 10
L = 13 in
SUMMARY
Length = 13 in
Width = 10 in
