Atile mosaic in the shape of a right triangle is used as the corner for a rectangular pathway. the hypotenuse of the mosaic is 5ft. one side of the mosaic is twice as long as the other side. what are the lengths of the sides? round your answers to the nearest tenth.

The lengths of the sides are 2.2 ft and 4.5 ft

Step-by-step explanation:

Let

a -----> the length of one side of the mosaic

b ----> the length of the other side of the mosaic

c ----> the hypotenuse of the mosaic

we know that

Applying the Pythagoras Theorem

-----> equation A

we have

-----> equation B

-----> equation C

substitute equation B and equation C in equation A and solve for b

Find the value of a

------>

therefore

The lengths of the sides are 2.2 ft and 4.5 ft

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the first one, all those points on the line just make a strait line.