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a rectangle has side lengths of 4 and 75. below is the rectangle split …

Question

a rectangle has side lengths of 4 and 75. 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 $4 \times 75$. $4 \times 75 = \square$

Explanation:

Step1: Calculate missing length

$75 - 5 = 70$

Step2: Find blue rectangle area

$4 \times 70 = 280$

Step3: Find pink rectangle area

$4 \times 5 = 20$

Step4: Calculate total product (part b)

$280 + 20 = 300$

Answer:

(a) Missing length = 70; Blue area = 280 square units; Pink area = 20 square units
(b) $4 \times 75 = 300$