Question

The length of a rectangle is 2√24 in. and the width is 4√3 in. Make sure to simplify and express in simplest radical form. Ja. What is the area of the rectangle? b. What is the perimeter of the rectangle? area: perimeter: Submit Answer in ² in.​

Answer 1

• Area= 48√2 in.²
• Perimeter= 8(√3 + √6) in.

Explanation:

We are here given that,

length= 2√24 in.

breadth= 4√3 in .

As we know that,

Area = length*breadth

Area = 2√24 * 4√3 in.²

Area = 8 * √{2*3*2*2*3} in.²

Area = 8 * 6√2 in.²

Area= 48√2 in.²

And ,

Perimeter= 2( l + b )

Perimeter= 2( 2√24 + 4√3) in.

Perimeter= 2( 4√6 + 4√3) in.

Perimeter= 2 * 4 ( √3 + √6) in.

Perimeter= 8√3 + 8√6 in.

and we are done!