Question

What is the area of the following figure? ​

Answer 1

Answer:

75 mm^2

Step-by-step explanation:

use pythageron theorem to find the area of the triangle

7^2=5^2+b^2

b=4.489mm

multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.

4.489*5 = 24.49mm^2

Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left.  That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is

5*10.1 = 50.5mm^2

add the areas together: 50.5 +24.49 = 75 mm^2