Question

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.

Answer 1

The answer to your question is:

m = length of the smaller bed = 17 ft

l = length of the larger bed = 25 ft

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

Answer 2

Using the area of a square formula, the length of the smaller and larger bed is 17 feets and 25 feets responsibility

Using the Parameters :

• Area of bed 1 = A
• Area of bed 2 = B

Hence,

• A + B = 914

• A - B = 336

Area of a square, = s² ; s = side length :

A = s²

B = m²

s² + m² = 914 - - - - (1)

s² - m² = 336 - - - - (2)

s² = 336 + m² - - - - (3)

(336 + m²) + m² = 914

336 + 2m² = 914

2m² = 914 - 336

2m² = 578

m² = 578 / 2

m² = 289

m = 17 feets

From 3 :

s² = 336 + 289

s² = 625

s = √625

s = 25 feets

Hence, the length of the smaller and larger bed are 17 feets and 25 feets respectively.