Question

a rectangle has side lengths of 7 and 85. below is the rectangle split into two small rectangles. (a) find the missing length, and then find the areas (in square units). (b) use the figure to find 7×85. 7×85 =

Explanation:

Step1: Split 85 into 80 and 5

The rectangle is split along the length 85 into 80 and 5.

Step2: Calculate area of blue rectangle

Area = 7 × 80 = 560

Step3: Calculate area of red rectangle

Area = 7 × 5 = 35

Step4: Find total area for (b)

Total area = 560 + 35 = 595

Answer:

(a) Missing lengths: 80 and 5; Blue area: 560; Red area: 35
(b) 595