John Roy creates this drawing of a composite shape for an art contest. The area of the drawing is 78 square centimeters. What is the height of the rectangle?
(1 point)
• 12 centimeters
O 8 centimeters
O 10 centimeters
• 13 centimeters
In order to find the height of the rectangle, we first need to find the width of the rectangle.
Let's assume the width is x cm. Since the total area is 78 square centimeters, we can set up the equation:
x * h = 78
Now we need to identify the composite shape in the drawing. Assuming it is a rectangle with a small square cut out of it, we can calculate the total area of the composite shape by adding the area of the rectangle and subtracting the area of the square.
The area of the rectangle = x * h
The area of the square = x^2 (since all sides of a square are equal in length)
The total area of the composite shape = x * h - x^2 = 78
Given that the width and height are equal to each other, we can substitute x for h in the equation:
x * x - x^2 = 78
x^2 - x^2 = 78
0 = 78
This shows that the equation has no solution, meaning there must be a mistake in the calculation or in the given information. Please double-check the information provided.
pic an answer i gave u
I apologize for the mistake in my calculations earlier. Let's try again:
Given that the area of the drawing is 78 square centimeters and the shape is a rectangle, the area of a rectangle is given by the formula:
Area = length * width
Let the width of the rectangle be x cm. Since the drawing is a composite shape made up of a rectangle, let the height of the rectangle also be x cm. So the area of the rectangle is:
78 = x * x
78 = x^2
Solving for x:
x^2 = 78
x = √78
x ≈ 8.83 cm
Therefore, the height of the rectangle is approximately 8.83 cm.
So the closest answer choice to this would be 8 centimeters.