Answer :
- If the area of the side of the rectangle is x cm², an expression of L in terms of x is given by L = x/W.
- If the width of the wire is 13 cm, the length of the side of the rectangle is 5.46 cm.
Given the following data:
Area of rectangle, x = 71 cm².
Width of rectangle, W = 13 cm.
How to calculate the area of a rectangle?
Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
- A represents the area of a rectangle.
- L represents the length of a rectangle.
- W represents the width of a rectangle.
How to find an expression of L in terms of x?
x = LW
L = x/W.
Therefore, an expression of L in terms of x is given by: L = x/W.
Substituting the given parameters into the expression, we have;
L = 71/13
Length, L = 5.46 cm.
Read more on area of a rectangle here: brainly.com/question/25292087
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Complete Question:
A pipe of wire of length of I cm is bent into the shape of a rectangle the area enclose by the rectangle 71 cm².
(a) if the area of the side of the rectangle is x cm². Find an expression of l in terms of x.
(b) if the width of the wire is 13cm. Find the length of the side of the rectangle.