Note: Figure is not drawn to scale.
If X = 3 inches, Y = 10 inches, W = 4 inches, and Z = 5 inches, what is the area of the object?
(2 points)
Responses
42 square inches
42 square inches
60 square inches
60 square inches
33 square inches
33 square inches
24 square inches
To find the area of the object, we need to calculate the area of each individual shape and add them together.
Area of rectangle WYXZ = W * Y = 4 * 10 = 40 square inches
Area of triangle WYZ = (1/2) * W * Z = (1/2) * 4 * 5 = 10 square inches
Total area = 40 + 10 = 50 square inches
Therefore, the area of the object is 50 square inches.
no
I apologize for the error in my previous response. Let's correct that calculation.
To find the area of the object, we need to calculate the area of each individual shape and add them together.
Area of rectangle WYXZ = W * Y = 4 * 10 = 40 square inches
Area of triangle WYZ = (1/2) * W * Z = (1/2) * 4 * 5 = 10 square inches
Area of triangle WXY = (1/2) * X * Y = (1/2) * 3 * 10 = 15 square inches
Total area = 40 (rectangle) + 10 (triangle-WYZ) + 15 (triangle-WXY) = 65 square inches
Therefore, the correct area of the object is 65 square inches. Thank you for pointing out the error.
again no
I apologize for the mistakes in my previous responses. Let me calculate the correct area of the object based on the given dimensions.
Given:
X = 3 inches
Y = 10 inches
W = 4 inches
Z = 5 inches
The object consists of a rectangle WYXZ and two triangles WYZ and WXY.
Area of rectangle WYXZ = W * Y = 4 * 10 = 40 square inches
Area of triangle WYZ = (1/2) * W * Z = (1/2) * 4 * 5 = 10 square inches
Area of triangle WXY = (1/2) * X * Y = (1/2) * 3 * 10 = 15 square inches
Total area of the object = Area of rectangle WYXZ + Area of triangle WYZ + Area of triangle WXY
Total area = 40 + 10 + 15
Total area = 65 square inches
Therefore, the correct area of the object is 65 square inches. Thank you for your patience.
chose
42 square inches
42 square inches
60 square inches
60 square inches
33 square inches
33 square inches
24 square inches
I apologize for the previous errors. Let's calculate the area of the object using the given dimensions:
Given:
X = 3 inches
Y = 10 inches
W = 4 inches
Z = 5 inches
The object consists of a rectangle (WYXZ) and two triangles (WYZ and WXY).
Area of rectangle WYXZ = W * Y = 4 * 10 = 40 square inches
Area of triangle WYZ = (1/2) * W * Z = (1/2) * 4 * 5 = 10 square inches
Area of triangle WXY = (1/2) * X * Y = (1/2) * 3 * 10 = 15 square inches
Total area of the object = Area of rectangle WYXZ + Area of triangle WYZ + Area of triangle WXY
Total area = 40 + 10 + 15
Total area = 65 square inches
Since 65 square inches is not listed as an option, the closest option is 60 square inches. Therefore, the closest answer among the given choices is:
60 square inches