The required difference in the size between the two garden is 20x. Option A is correct.
Given that,
Sonya has two rectangular gardens. The larger garden is four times as wide and five times as long as the smaller one. If the area of the smaller one is x, what is the difference in size between the two gardens is to be determined.
What is a rectangle?
The rectangle is 4 sided geometric shape whose opposites sides are equal in length and all angles are about 90°.
Here,
length and width of the small rectangular garden is l and b
Let the are of the small garden be x = lw
Now according to the question
Length of the larger garden = 5l
And the width of the larger garden = 4w
Now the area of the larger garden = 5l * 4w
= 20lw
= 20x
Thus, the required difference in the size between the two gardens is 20x. Option A is correct.
Learn more about rectangles here:
brainly.com/question/15019502
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