Question

The area of a rectangular garden is 140m². if its length is 4m more than its width, find the dimensions.
1. What information is given?
2. What are you asked to find?
3. Write a representation using I for the length and w for the width.
4. What is the working equation?
5. Solve the equation and check the answer(s).​

Answer 1

Answer:

width = 10m and length = 14m

Step-by-step explanation:

1. Given that  area of a rectangular garden is 140m². It's length is 4m more than width

2. Length and width of rectangular garden is need to find.

3. Say, w = x

Then, l = x + 4

4. working equation: x(x+4) = 140

5.

$x(x+4) = 140\\=> x^2 - 4x = 140\\=> x^2 - 2.x.2 + 2^2 = 140 + 2^2\\=> (x-2)^2 = 144\\=> x-2 = +12, -12\\=> x = 10, -10$

Width can't be negative.

Hence, width = 10m and length = 10m + 4m = 14m

Answer 2

Given that  area of a rectangular garden is 140m² and length is 4m more than its width, need to find dimensions which are 14 m and 10 m.

l = w + 4 and w² + 4w = 140 are the equations.

Given Information is:

• Area of Rectangular garden is 140 m²
• length is 4 m more than width

Asked to find:

• Dimension of Rectangular garden
• Length and width

Representation using I for the length and w for the width

• l = w + 4

Equation

• Area = length x width  
• lw = 140
• (w + 4)w = 140
• w² + 4w = 140

Solve the Equation:

• w² + 4w = 140
• w² + 14w - 10w - 140 = 0
• (w + 14)(w - 10) = 0
• w = -14 , w = 10
• Width can not be negative Hence w = 10
• l = w + 4 = 10 + 4 = 14

Hence Length and Width are 14 and 10 m

Checking the answer

• Area = 14 x 10 = 140 m²

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