Find the area of the shape shown below

Step-by-step explanation:

Area of big triangle

=(1/2)b×h

=(1/2)10×4

=1/2(40)

=20

Area of the other big triangle

=(1/2)b×h

=(1/2)6×2

=1/2(12)

=6

Area of small triangle

=(1/2)b×h

=(1/2)2×2

=1/2(4)

=2

Area of square

=s²

=2²

=4

Add all

20+6+2+4

=32 units ²

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584