Question

A rectangle has vertices at (-2, 11), (-2, 4), (6, 11), and (6, 4). Pablo says te area of the rectangle is 49 square units and his work is shown below. Step 1. Base:|-2|+|6|=8 Step 2. Height: 11-4=7 Step 3. Area: 8x7=49 square units. Where, if at all, did Pablo make his first mistake finding the area of the rectangle?

Answer 1

The error occurred in step 3

Explanation:

The formula of a parallelogram is

A = bh

b is the base of the parallelogram

h is the height of the parallelogram

Step 1: the calculation of the base is correct

Step 2: the calculation of the height is correct

Step 3: 8 x 7 = 49 is incorrect. 8 x 7 should be equal to 56.

Answer 2

The error is in the Step 3

Explanation:

we know that

The area of a rectangle is equal to

A=bh

where

b is the base of rectangle

h is the height of rectangle

so

The Step 1 calculating the Base is correct

The Step 2 calculating the Height is correct

The Step 3 calculating the area of rectangle is not correct

because

A=(8)(7)=56 units² instead of 49 units²