Answer:
119 in
Step-by-step explanation:
you just have to find the area of each shape individually and add them!
As we can see, we have a square base and 4 triangles. each triangle has the same area because the base is a square and they all have a height of 5. so, the area of a triangle is
[tex]a = \frac{1}{2} bh[/tex]
thus, each triangle is
[tex]a = \frac{1}{2}( 7 \times 5) = \frac{1}{2} (35) = 17.5[/tex]
since we have 4 triangles we can add this together 4 times or multiply by four.
[tex]4 \times 17.5 = 70[/tex]
now, we just need to add the area of the base. the area of a square is
[tex]a = {s}^{2} [/tex]
or
[tex]a = s \times s[/tex]
so, the area of the square is
[tex]a = {7}^{2} [/tex]
or
[tex]a = 7 \times 7[/tex]
which both equal 49.
now, we can add 49 to our sum of the area of our triangles, so
70+49= 119in
Hope this helps!
