Math Problem Statement
Solution
Let's break down the problem in the image step-by-step. The question is in Malay, and it translates to:
"The perimeter of a rectangle is exactly 70 cm. The width of the rectangle is of its length. What is the width of the rectangle?"
Let's solve this problem:
-
Perimeter of a Rectangle Formula:
The perimeter of a rectangle is given by the formula: Here, cm. -
Width in Terms of Length:
Let the length be .
According to the problem, the width is of the length: -
Substitute into the Perimeter Formula:
Substitute into the perimeter formula: -
Simplify the Equation:
-
Solve for :
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Find the Width: Now that we have the length :
The width of the rectangle is 10 cm. Therefore, the answer is B. 10.
Would you like more details or have any questions?
Here are 5 related questions to expand on this topic:
- What is the formula for the area of a rectangle?
- How would you find the length if you only knew the perimeter and the width?
- How can the perimeter formula be rearranged to solve for width directly?
- What is the difference between perimeter and area?
- Can the properties of a rectangle be applied to other quadrilaterals?
Tip: When solving word problems, always translate the given information into mathematical expressions before attempting to solve them.
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Proportion
Formulas
Perimeter of a rectangle P = 2(length + width)
Width = 2/5 of the length
Theorems
Properties of rectangles
Suitable Grade Level
Grades 6-8
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