From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:
LN : LP = 28:12 = 7:3
Therefore, the LRN sides is 7/3 of the corresponding side of LSP.
Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation
Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:
LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together
= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in
= (49/9)*50 ≈ 272.222 units ²
Answer:
of ice cream
Step-by-step explanation:
Given
Number of friends = 8
Size of ice cream = 1/6 quarts
Required
Total ice cream served
Let n represent the number of friends, s represent the size of ice cream and t represents total ice cream served;
t is calculated as thus;
Divide numerator and denominator by 2
Hence, she serves in total
