Answer:
92m²
Step-by-step explanation:
The height of the triangle is the height of the square plus the height above the square, or 4+8=12 m.
The length of the hypotenuse is 15 m. The length of the known leg is 12 m.
Substitute 12 for b, 15 for c, and solve for a.
a=√15²-12²= √225−144 = √81 = 9
The bottom leg of the right triangle is 9 m.
To find the length of the base of the large triangle multiply the length of the bottom leg of the right triangle by 2.
The length of the base of the large triangle is (9)(2)=18 m.
Use a formula for the area of a triangle, A=12bh, to find the area of the triangle.
18 is base and 12 is height
A=(1/2)(18)(12)= 108
to find the area of the square:
A= 4²=16
A=108-16= 92m²
