A rectangle has a perimeter of 360 m. If its length and width are in the ratio of 5:4 respectively, what would be its area?
A: 800 m²
B: 8000 m²
C: 100 m²
D: 1000 m²
The perimeter of a rectangle is given by the formula :
p = 2×(Length + Width).
Let's denote the length of the rectangle as 5x and the width as 4x, where x is a common multiplier.
Given that the perimeter is 360 m, we can set up the equation:
2 × ( 5x + 4x ) = 360
Combine like terms:
2 × 9x = 360
Simplify:
18x = 360
Now, solve for x:
X = 360/18 = 20
Now that we have the value of x, we can find the length and width of the rectangle:
Length = 5x = 5 × 20 = 100m
Width = 4x = 4 × 20 = 80m
Now, calculate the area of the rectangle using the formula Area=length×width:
Area = 100m × 80m
Area = 8000m²
So, the area of the rectangle is 8000m²
With a focus on mathematical calculations, Learnerscamp provides dynamic tutorials, real-world applications, and problem-solving scenarios that empower students to grasp mathematical concepts with ease. Our adaptive learning algorithms ensure personalized learning paths, allowing students to progress at their own pace while receiving instant feedback to reinforce their understanding.
Learnerscamp goes the extra mile by incorporating a robust assessment system that enables students to gauge their understanding through comprehensive tests. Our adaptive testing module dynamically tailors assessments to each student's proficiency level, providing a personalized evaluation of their mathematical knowledge.
sample Question screanshot
Upon completing a test, students receive a detailed and insightful report that not only highlights their overall performance but also breaks down their scores on a per-question basis. This granular analysis allows students to identify specific areas that may need improvement fostering a targeted and efficient approach to learning.
sample report screanshot
