Answer:

WIDTH= 7m

LENGTH = 10m

Step-by-step explanation:

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

Let × - width

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

This means that the length will be × + 3 since its 3 meters linger tgan the width

The are is given to be 70 m², that means we're using the formula.

Using the area formula:

× ( ×+3)=70

Simplified: ײ + 3×=70

Subtract 70 to both sides to form a quadratic equation

× + 3 ×- 70=0

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

( ×+10) (×-7)

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

×+10=0

×= -10

×-7=0

×=7

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

Width=7m

Length= ×+3= 7+3=10m