Respuesta :

fairytinker92

Answer:

8 cm.

Step-by-step explanation:

Area = length × width

Use the variable w instead of width.

Area = w × (w+3)

Substitute 40 for the Area

40 = w × (w + 3)

Create a table to find the greatest common factors of 40.

1 × 40, not it because 40 is 39 units greater than 1, not 3

2 ×20, not it because 20 is 18 units greater than 2, not 3

4 × 10, not it because 10 is 6 units greater than 4, not 3

5 × 8, correct because 8 is 3 units greater than 5

Now substitute 5 for w to check your answer

40 = 5 × (5 +3 )

40 = 5 × 8

40 = 40

The answer is correct.

Hope this helps!!!

A rectangle is a quadrilateral with 4 sides. In a rectangle, one side is longer than the other. The longer side is called the width and the shorter side is called the length.

The length of the rectangle is 8cm.

The formula  for the area of a rectangle is given as :

Length x Width

From the question, the length is 3 more than its width​. We can represent this mathematically as:

L = W + 3

Area of the rectangle = 40 sq. cm

Inputting this into the formula

(W + 3) x W = 40

W² + 3W = 40

W² + 3W - 40 = 0

Factorise

W² +8W - 5W - 40 = 0

W(W + 8) - 5(W + 8) = 0

(W + 8)(W - 5) = 0

To find W

W + 8 = 0

W = - 8 or

W - 5 = 0

W = 5 cm

Therefore, the width is 5cm.

To find the length, L = W + 3

L = 5 + 3

L = 8 cm

Therefore, the length is 8 cm.

To learn more, visit the link below:

https://brainly.com/question/7448391

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