Question

a flower bed is to be 3m longer than its width. the flowerbed qill have an area of 70m^2​

Answer 1

Step-by-step explanation:

Answer:

WIDTH = 7m.

LENGTH = 10m.

Step-by-step explanation:

I am assuming that you're asking for the width and the length.

The area of a rectangle is a (side x side)

Let x = width

"The flower bed is to be 3m longer than its width."

This means that the length will be x + 3 since it's 3 meters longer than the width.

The area is given to be 70 , that means we're using the area formula.

Using the area formula:



Simplified: .

Subtract 70 to both sides to form a quadratic equation.



Think of two numbers that when multiplied, results to -70 and when added gives 3. Those two numbers are 10 and -7



We equate the two equations to zero to get the roots we're looking for,





Since we cannot have a negative width, we have to use the positive one, which is 7.

Width = 7m

Length = x+3 = 7+3 = 10m

hope this helps

Answer 2

Answer:

WIDTH = 7m

LENGTH = X + 3 m = 7 + 3 m = 10m

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