Answer :

Answer:

26m

Step-by-step explanation:

Given that the perimeter of the rectangular garden is 90m, we can write an equation to represent the perimeter of a rectangle:

Perimeter = 2(Length + Width)

We know that the perimeter is 90m, so we can set up the equation:

2(Length + Width) = 90

Now, we're given that the width is 7m less than the length. This means we can write an equation for the width in terms of the length:

Width = Length - 7

Substituting this expression for Width into the perimeter equation, we get:

2(Length + (Length - 7)) = 90

Simplifying the equation, we get:

2(2Length - 7) = 90

Expanding the parentheses, we get:

4Length - 14 = 90

Now, let's add 14 to both sides of the equation to get:

4Length = 104

Finally, let's divide both sides by 4 to solve for Length:

Length = 104 ÷ 4

Length = 26

So, the length of the garden is 26m!