Question 4%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%0A140 in.2%0D%0A 140 in. squared%0D%0A%0D%0A112 in.2%0D%0A112 in. squared%0D%0A%0D%0A80 in.2%0D%0A 80 in. squared%0D%0A%0D%0A102 in.2%0D%0A 102 in. squared
To find the area of the quadrilateral, we first need to split it into two triangles by drawing a segment from the top right vertex to the bottom left vertex.
Both triangles are right triangles, so we can find the area of each triangle using the formula A = 1/2 * base * height.
For the triangle on the left:
A = 1/2 * 7 * 16 = 56 in. squared
For the triangle on the right:
A = 1/2 * 9 * 14 = 63 in. squared
Therefore, the total area of the quadrilateral is 56 + 63 = 119 in. squared.
None of the provided answer options match the correct area, so the closest answer is 102 in. squared.