find the area of a rectangle which the length is 10 ^3 square root 4cm and width is ^3 square root 16cm show with steps
To find the area of a rectangle, we multiply its length by its width.
Given:
Length = 10^(3/4) cm
Width = (√16)^3 cm
Step 1: Simplify the length and width
10^(3/4) = √(10^3) = √1000 ≈ 31.62 cm (rounded to two decimal places)
(√16)^3 = 4^3 = 64 cm
Step 2: Multiply the length by the width
Area = 31.62 cm * 64 cm
Area = 2024.68 cm² (rounded to two decimal places)
Therefore, the area of the rectangle is approximately 2024.68 cm².