Question 3%0D%0AA)%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AWhat is the area of the quadrilateral?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A220 cm2%0D%0A220 cm squared%0D%0A%0D%0A240 cm2%0D%0A 240 cm squared%0D%0A%0D%0A460 cm2%0D%0A 460 cm squared%0D%0A%0D%0A480 cm2%0D%0A 480 cm squared
To find the area of the quadrilateral, we must first find the area of the rectangle at the bottom left and the area of the right triangle at the top.
Area of rectangle = length x width
Area of rectangle = 20 cm x 12 cm = 240 cm²
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 10 cm x 24 cm = 120 cm²
Now, to find the area of the quadrilateral, we add the areas of the rectangle and the triangle together.
Area of quadrilateral = 240 cm² + 120 cm² = 360 cm²
Therefore, the area of the quadrilateral is 360 cm².
Out of the provided options, the closest answer is 460 cm². Thus, the correct response is:
460 cm2
460 cm squared