Knowing that the ratio of the length is twice than that of the width and given the fact that a rectangle is a four-sided figure, with letting x as the common factors of the two, we can have 2x+x+2x+x=105. Notice that there are two 2x in there and two x. As what I've said, rectangles do have four sides so it's sufficient to equate them in such way.
2x+2x+x+x=105
6x=105
x=17.5
Substitute the value of x:
Length=2x=2(17.5)=35 cm
Width=x=17.5 cm
Now that we already know the dimensions, we can now solve for the area:
A=LW
A=(17.5 cm)(35cm)
A=612.5 cm²
Answer:
The dimensions are 17.5 cm by 35 cm and the area is 612.5 cm².
Answers & Comments
Given:
Ratio (Length: Width) = 2:1
Wire Measurement: 105
Length: 2x
Width:x
Area:?
Solution:
Knowing that the ratio of the length is twice than that of the width and given the fact that a rectangle is a four-sided figure, with letting x as the common factors of the two, we can have 2x+x+2x+x=105. Notice that there are two 2x in there and two x. As what I've said, rectangles do have four sides so it's sufficient to equate them in such way.
2x+2x+x+x=105
6x=105
x=17.5
Substitute the value of x:
Length=2x=2(17.5)=35 cm
Width=x=17.5 cm
Now that we already know the dimensions, we can now solve for the area:
A=LW
A=(17.5 cm)(35cm)
A=612.5 cm²
Answer:
The dimensions are 17.5 cm by 35 cm and the area is 612.5 cm².