The length of a rectangular pool is 6 m less than twice the width.If the pool has a perimeter of 126 m,find the area
A: 920
B: 391
C: 900
D: 414
The perimeter (P) of a rectangle is given by the formula:
P = 2( l + w )
In this case, the perimeter is given as 126 m. Therefore:
126 = 2( ( 2w – 6 ) + w )
Now, simplify and solve for w:
126 = 2( 3w – 6 )
Divide both sides by 2:
63 = 3w − 6
Add 6 to both sides:
69 = 3w
Divide by 3:
W = 23
Now that we know the width (w), we can find the length (l):
L = 2w – 6 = 2(23) – 6 = 40
The width is 23 m, and the length is 40 m. To find the area (A) of the rectangle, use the formula:
A = l × w
Substitute the values:
A = 40 × 23 = 920
Therefore, the area of the rectangular pool is 920m2.
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