Calculate EB Length When EB = 1/5 AB in a Rectangle with Area 70

Question

The area of the rectangle is equal to 70.

EB=15AB EB=\frac{1}{5}AB

AAABBBDDDCCCEEE707

Calculate the length of EB.

Video Solution

Solution Steps

00:00 Find EB
00:03 The formula for calculating rectangle area is length (AC) times width (AB)
00:09 Let's substitute appropriate values and solve for AB
00:19 This is the size of AB
00:22 EB equals one-fifth of AB according to the given data
00:26 And this is the solution to the problem

Step-by-Step Solution

The area of rectangle ABCD equals length multiplied by width.

Let's use the known data in the formula to find side AB:

70=7×AB 70=7\times AB

Let's divide both sides by 7:

AB=10 AB=10

Since we are given that EB equals one-fifth of AB, we can use the known data and calculate side EB:

EB=15AB=15×10=2 EB=\frac{1}{5}AB=\frac{1}{5}\times10=2

Answer

2