Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

16. find the perimeter of a rectangle with a width of $2\\sqrt{7}$ and …

Question

  1. find the perimeter of a rectangle with a width of $2\sqrt{7}$ and a length of $3\sqrt{5}$. a. $4\sqrt{7} + 6\sqrt{5}$ b. $2\sqrt{7} + 3\sqrt{5}$ c. $4\sqrt{14} + 6\sqrt{10}$ d. $5\sqrt{12}$

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\) (where \(l\) is the length and \(w\) is the width). Given \(w = 2\sqrt{7}\) and \(l=3\sqrt{5}\).

Step2: Substitute the values into the formula

$$ LATEXBLOCK0 $$

Answer:

A. \(4\sqrt{7}+6\sqrt{5}\)