PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft2 + 48 ft2. Is the student correct? Explain your reasoning.
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Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted.
he have found the area of total rectangle of length of 8 ft and width of 6 ft instead of the area of the trapezoid.
So, the student is wrong