A rectangular bedroom is 2 ft longer than it is wide. It's area is 288 ft2. What is the width of the room?

96ft

Step-by-step explanation:

length=x+2

width=x

x+2*x=288

3x=288

x=96

= 144 ft

Step-by-step explanation:

Area = lenght × width

288 = 2 × width

Therefore

Width = 288 ÷ 2

= 144 ft

part a: 1.08

part b: 27.59

< 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)