The figure shown is made up of a triangle and a square. The
perimeter of the figure is 28 inches. Complete the
| description to find the area of the figure.

18 inches; 6 inches; 12 in²; 36 in²; 48 in²

Step-by-step explanation:

First you need to find the perimeter made up by the three sides of the square.

28 = 5 + 5 +x

28 = 10 + x

18 = x

The total length of three sides of the square is 18 inches.

Next we need to find the length of the side of the square, this is done by dividing the previous answer by 3.

18/3 = x

x = 6

The side length of the square is 6 inches.

Next, we need to find the area of the triangle, this is done by multiplying the height by the base and dividing by 2.

A = 6 * 4 / 2

A = 24/2

A = 12

The area of the triangle is 12 in²

Next, we need to find the area of the square, which is found by squaring the length of the side of the square.

A = 6²

A = 36

The are of the square is 36 in²

Finally, to find the total area, we add the area of the square and triangle together.

A = 36 + 12

A = 48

The total area is 48 in²

< 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)

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation: