Let's start by finding the perimeter of the rectangular garden using the formula: perimeter = 2(length) + 2(width).
Given:
Length = 2x + 3
Width = x + 1
Perimeter = 30
Plugging in the given values:
30 = 2(2x+3) + 2(x+1)
Now, we solve for x:
30 = 4x + 6 + 2x + 2
30 = 6x + 8
22 = 6x
x = 22/6
x = 3.67
Since x must be a whole number and looking at the given options: x=4.
Word Problem:
A rectangular garden has a length of 2x+3 meters and a width of x+1 meters. If the perimeter of the garden is 30 meters, what is the value of 𝑥?
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𝑥=4
𝑥=5
𝑥=6
𝑥=7
1 answer