The pentagons ABCDE and JKLMN are similar.Find the length x of KL.CAB32435DELJK3.62.44.83.6xMN=x
Question
The pentagons ABCDE and JKLMN are similar. Find the length x of KL.
Given the following information:
CAB32435DELJK3.62.44.83.6xMN=x
Find the value of x.
Solution
The problem states that the pentagons ABCDE and JKLMN are similar. This means that the ratio of corresponding sides is the same.
We can set up a proportion to find the length of KL (x).
The ratio of corresponding sides is CAB/DEL = JK/KL.
From the problem, we know that CAB = 3.6, DEL = 4.8, and JK = 3.2. We want to find KL, which we'll call x.
So, we set up the proportion:
3.6/4.8 = 3.2/x
Cross-multiplying gives us:
3.6x = 4.8 * 3.2
Solving for x, we get:
x = (4.8 * 3.2) / 3.6
x = 4.27 (rounded to two decimal places)
So, the length of KL is approximately 4.27 units.
Similar Questions
The quadrilaterals ABCD and PQRS are similar.Find the length x of SP.AD5324BCPS3.52.11.4xQR
and △PQR are similar. Find the missing side length.ABCPQR254126?(The triangles are not drawn to scale.)
Question setFigure 16: Pentagon ABCDE𝐴𝐵𝐶𝐷𝐸.Calculate AE𝐴𝐸. Give your answer correct to 3 significant figures (write it in the space provided below).
The radius of a regular pentagon is 11 m. What is the length of its apothem?Question 3Select one:a.8.9 mb.5 mc.12.93 md.11 m
A quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square.What is the length of KL? (Round your answer to the nearest whole number.)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.