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!