A bridge connects two mountaintops. Find the area outlined in the image. (1 point) Responses 400 ft.2 400 ft. squared 300 ft.2 300 ft. squared 200 ft.2 200 ft. squared 240 ft.2
To find the area outlined in the image, we need to calculate the trapezoidal area of the shape.
Let's break the shape into two parts: a rectangle and a trapezoid.
The area of the rectangle is:
Base x Height = 40 ft x 10 ft = 400 ft^2
The area of the trapezoid is:
((Base1 + Base2) / 2) x Height = ((40 ft + 20 ft) / 2) x 10 ft = (60 ft / 2) x 10 ft = 30 ft x 10 ft = 300 ft^2
Adding the areas of the rectangle and the trapezoid together:
400 ft^2 + 300 ft^2 = 700 ft^2
Therefore, the area outlined in the image is 700 ft^2.
A bridge connects two mountaintops. Find the area outlined in the image. (1 point) Responses 400 ft.2 400 ft. squared 300 ft.2 300 ft. squared 200 ft.2 200 ft. squared 240 ft.2
To find the area outlined in the image, we need to calculate the area of the trapezoid.
The formula for the area of a trapezoid is:
Area = (1/2) x (Base1 + Base2) x Height
In this case, the longer base (Base1) is 40 ft, the shorter base (Base2) is 20 ft, and the height is 10 ft.
Plugging these values into the formula:
Area = (1/2) x (40 ft + 20 ft) x 10 ft
Area = (1/2) x 60 ft x 10 ft
Area = 30 ft x 10 ft
Area = 300 ft^2
Therefore, the area outlined in the image is 300 ft^2.