Question

1 - 66. fill in the area of the missing dimensions and areas of the rectangles below. write an equation for the total area by adding the purple boxes.

hint: multiply the two sides and add the purple boxes.

a.
area =

hint: multiply the two sides and add the purple boxes.

b.
area =

hint: multiply the two sides and add the purple boxes.

Explanation:

Step1: Analyze part a

The rectangle has dimensions 10 and 8. The purple - box values are 80 and 100. The total area of a rectangle is found by multiplying the length and width and adding the values in the purple boxes. The area of the rectangle without considering the purple boxes is \(10\times8 = 80\). The total area \(A_a=10\times8 + 80+100\).
\[A_a=80 + 80+100=260\]

Step2: Analyze part b

The rectangle has dimensions 12 and 4. The purple - box values are 12 and 24. The area of the rectangle without considering the purple boxes is \(12\times4=48\). The total area \(A_b\) is found by multiplying the two sides and adding the purple - box values.
\[A_b=12\times4+12 + 24=48+12 + 24=84\]

Answer:

a. 260
b. 84