Find The Length And The Width Of The Rectangle

Find the length and the width of the rectangle

 

Given rectangle, with:

• Perimeter, P = 30 units
• length, l = 3 + √x units
• width, w = √x units

then,

• P = 2 (l + w)
• 30 = 2 (3 + √x + √x)
• 30 = 2 (3 + 2√x)
• 30 = 6 + 4√x
• 4√x = 30 - 6
• √x = 24/4
• (√x)² = (6)²
• x = 36

We get, Solve for length:

• l = 3 +√x
• l = 3 + √36
• l = 3 + 6
• l =

Solve for width,

• w = √x
• w = √36
• w =

• Therefore, the length of the rectangle is 9 units and the width is 6 units.

hope this helps

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