Question

modeling real life scientists rope off two excavation sites. site a is rectangular with a length of 60 meters and a width of 40 meters. site b is similar in shape to site a but has a length of 15 meters. how much rope is needed for both sites? m

Explanation:

Step1: Find Site A's perimeter

Perimeter formula: $P_A = 2(l+w) = 2(60+40)$
$P_A = 200$ meters

Step2: Find similarity ratio

Ratio of lengths: $\frac{45}{60} = \frac{3}{4}$

Step3: Find Site B's width

Scale width: $w_B = 40 \times \frac{3}{4} = 30$ meters

Step4: Find Site B's perimeter

$P_B = 2(45+30)$
$P_B = 150$ meters

Step5: Total rope needed

Sum perimeters: $200 + 150 = 350$ meters

Answer:

350 m