Q:

A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 914ft squared and the difference of the areas is 336ft squared.Length of the smaller bed is __ft.Length of the larger bed is __ft.

Accepted Solution

A:
Answer:The answer to your question is:m = length of the smaller bed = 17 ftl = length of the larger bed = 25 ftStep-by-step explanation:DataA1 + A2 = 914A1 - A2 = 336A1 = l²A2 = m²Processl² + m² = 914l² - m² = 336l² = 336 + m²(336 + m²) + m² = 914336 + 2m² = 9142m² = 914 - 3362m² = 578m² = 578 / 2m² = 289m = 17 ftl² = 336 + 289l² = 625l = 25 ft