The top there’s 7in, the right side has 16in, the left side has 10 in, and the inside top has 6 in. What’s the area of this quadrilateral?

3 answers

To find the area of this quadrilateral, we first need to split it into two triangles.

Triangle 1:
- Base: 7in
- Height: 6in
- Area: (1/2) x Base x Height
= (1/2) x 7 x 6
= 21 square inches

Triangle 2:
- Base: 16in
- Height: 6in
- Area: (1/2) x Base x Height
= (1/2) x 16 x 6
= 48 square inches

Therefore, the total area of the quadrilateral is the sum of the areas of both triangles:
Area = 21 + 48
Area = 69 square inches

So, the area of this quadrilateral is 69 square inches.
No pick 91in, 78in, 39in, or 96in^2.
I apologize for the error in my previous calculations. Let's recalculate the area of the quadrilateral correctly.

Given:
- Top: 7in
- Right side: 16in
- Left side: 10in
- Inside top: 6in

We can split the quadrilateral into two triangles:
1. Triangle with base 10in and height 6in
2. Triangle with base 16in and height 6in

Area of triangle 1:
(1/2) x 10in x 6in = 30 square inches

Area of triangle 2:
(1/2) x 16in x 6in = 48 square inches

Total area of the quadrilateral:
30 square inches + 48 square inches = 78 square inches

Therefore, the correct area of the quadrilateral is 78 square inches.
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