HEL Find the area of a rectangle with side lengths 5
8
ft. and
1
3
ft.
Use the drawing to help you solve the problem.

A 1-foot by 1-foot square is shown. The square is divided into 8 rows and 3 columns. Therefore, there are a total of 24 equal-sized cells inside the square.

A.
5
11

ft
2
B.
1
11
12

ft
2
C.
6
11

ft
2
D.
5
24
ft
2

step-by-step explanation:

0.02040816326

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)