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Question

An illustration shows the outline of letter upper L. The thickness of the outline is 7, marked at both ends of the letter. The vertical side of the outline, on the right, measures 13 and the upper horizontal side of the outline measures 15.

Find the area of the polygon in square units.
give the right answers plz

Answer 1

To find the area of the polygon, we can divide it into two shapes: a rectangle and a right triangle.

The rectangle is formed by the vertical side measuring 13 and the lower horizontal side measuring 15. The area of the rectangle is 13 x 15 = 195 square units.

The right triangle is formed by the upper horizontal side measuring 15, the vertical side measuring 7, and the diagonal side that connects the two endpoints of the upper horizontal side. To find the length of the diagonal side, we can use the Pythagorean theorem:
(diagonal side)^2 = (15)^2 + (7)^2
(diagonal side)^2 = 225 + 49
(diagonal side)^2 = 274
diagonal side ≈ √274 ≈ 16.58

Now, we can find the area of the right triangle:
1/2 x base x height = 1/2 x 15 x 7 = 52.5 square units

Finally, we can find the total area of the polygon by adding the areas of the rectangle and the right triangle:
195 + 52.5 = 247.5 square units

Therefore, the area of the polygon is 247.5 square units.