Question

what is the area of this figure?
square millimeters
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work it out

Explanation:

Step1: Calculate area of left rectangle

$A_1 = 6 \times 7 = 42$ mm²

Step2: Calculate area of right rectangle

$A_2 = 4 \times 8 = 32$ mm²

Step3: Calculate area of middle connecting part

First find the width of the middle section: $6 - 3 = 3$ mm, height: $7 - 2 = 5$ mm
$A_3 = 3 \times 5 = 15$ mm²

Step4: Sum all areas

$A_{total} = A_1 + A_2 + A_3$

Answer:

89 square millimeters