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andre [41]
3 years ago
9

A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 914ft squared and the differenc

e of the areas is 336ft squared.
Length of the smaller bed is __ft.

Length of the larger bed is __ft.
Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

The answer to your question is:

m = length of the smaller bed = 17 ft

l = length of the larger bed = 25 ft

Step-by-step explanation:

Data

A1 + A2 = 914

A1 - A2 = 336

A1 = l²

A2 = m²

Process

l² + m² = 914

l² - m² = 336

l² = 336 + m²

(336 + m²) + m² = 914

336 + 2m² = 914

2m² = 914 - 336

2m² = 578

m² = 578 / 2

m² = 289

m = 17 ft

l² = 336 + 289

l² = 625

l = 25 ft

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