Respuesta :
Answer:
The answer is "[tex]4 \cdot 7[/tex]".
Step-by-step explanation:
In the question the total given value =4(x+7). Â if we add the value it will be 11 but if we multiply the value it is equal to [tex]4 \cdot 7[/tex].
The error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².
Given to us
The original length of the garden is x.
The Area of the extended garden is 4(x+7).
Area of the Extended Garden
Given to us is the area of the complete garden, therefore, comparing the expression with the area of a rectangle,
[tex]\text{Area of rectangle}= \rm{ Breadth \times Length[/tex]
[tex]4(x+7) = Breadth \times Length[/tex]
Therefore, the breadth of the rectangle is 4 feet, since the breadth of the rectangle is not been changed the breadth of the rectangle is same as before, also (x+7) represents the complete length of the garden after it is extended, and since the original length of the garden is x, the length extended is 7 feet.
Area of the only Extended Portion of the Garden
We know that the breadth of the rectangular garden is 4 and the area of extended length is 7, therefore,
The Area of the only Extended Portion of the Garden
= 4 x 7 = 28 ft²
Hence, the error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².
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