Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle: Perimeter: P=78 feet
The formula of Perimeter is: P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78 Dividing both sides of the equation by 2: 2(W+L)/2=78/2 W+L=39
If the shape is of a golden rectangle, we know: L=1.6W Replacing this above: W+1.6W=39 Adding similar terms: 2.6W=39 Solving for W 2.6W/2.6=39/2.6 W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
