Question

question 1-4
find the area of rectangle a, given the areas of the squares next to it.
rectangle a has an area of (square) (ft^2)

Explanation:

Step1: Find side of large square

The area of a square is $s^2$, so solve for $s$:
$$s_1 = \sqrt{54} = 3\sqrt{6}$$

Step2: Find side of small square

Solve for side length of small square:
$$s_2 = \sqrt{6}$$

Step3: Identify rectangle A's sides

Rectangle A shares $s_1$ as length, $s_2$ as width.

Step4: Calculate area of A

Area = length × width:
$$\text{Area} = 3\sqrt{6} \times \sqrt{6} = 3 \times 6 = 18$$

Answer:

$18$ ft²