Question

guided practice: two digit by one digit division using area model suppose we want to divide 88 by 4. first, we expand the 2 - digit dividend 88 as 80 + 8. then we make an area model: the bigger rectangle has an area 80 and the smaller rectangle has an area 8. the dividend 4, we write on the left side. now we need to find the lengths of the missing sides in each rectangle, a and b. these will be the partial quotients or the missing sides of each rectangle: a) what is the length of side a? length of a is. b) what is the length of side b? length of b is. c) what is the total length a + b? total length is.

Explanation:

Step1: Calculate length of side A

We know that area of rectangle A is 80 and one - side is 4. Using the formula for the area of a rectangle $A = l\times w$, to find the length $l$ when $A = 80$ and $w = 4$, we do $80\div4$.
$80\div4 = 20$

Step2: Calculate length of side B

The area of rectangle B is 8 and one - side is 4. Using the area formula $A = l\times w$, to find the length $l$ when $A = 8$ and $w = 4$, we do $8\div4$.
$8\div4=2$

Step3: Calculate total length A + B

We found that $A = 20$ and $B = 2$. To find $A + B$, we add these two values.
$20 + 2=22$

Answer:

A. 20
B. 2
C. 22