A rectangle has perimeter 78 cm and length 34 cm. What is its? width?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
Perimeter = 78 cm
Length = 34 cm
Determine the width.
Formula for the perimeter of the rectangle:
P = 2 ( l + w )
Solution:
Substitute the given values of P and l to the formula for the perimeter of the rectangle and then solve for w.
P = 2 ( l + w )
78 cm = 2 (34 cm + w)
78 cm = 68 cm + 2w
Transpose 68 cm to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
78 - 68 = 2w
2w = 10
Divide both sides by 2 in order to determine the value of w.
2w/2 = 10/2
w = 5
Final answer:
width = 5 cm