find the area of the yellow shaded region in the figure. 18in base 14 in height then 10 in base and 5 in. height
171 in.
196 in.
205 in
217 in
To find the area of the yellow shaded region, we need to find the area of the two triangles and subtract it from the area of the rectangle.
The area of a triangle is given by the formula:
Area = (base * height) / 2
For the first triangle, the base is 18 inches and the height is 14 inches:
Area of first triangle = (18 * 14) / 2 = 126 square inches
For the second triangle, the base is 10 inches and the height is 5 inches:
Area of second triangle = (10 * 5) / 2 = 25 square inches
Now let's calculate the area of the rectangle. We can use the formula:
Area = length * width
The length of the rectangle is 18 inches and the width is 5 inches:
Area of rectangle = 18 * 5 = 90 square inches
To find the area of the yellow shaded region, we subtract the sum of areas of the two triangles from the area of the rectangle:
Yellow shaded area = Area of the rectangle - Area of first triangle - Area of second triangle
Yellow shaded area = 90 - 126 - 25
Yellow shaded area = 90 - 151
Yellow shaded area = -61 square inches
Since the area cannot be negative, there seems to be a mistake in the given measurements or figure. Please double-check the dimensions and provide the correct measurements in order to find the accurate area of the yellow shaded region.