Question

determine (a) the area and (b) the perimeter of the quadrilateral.

a. the area of the quadrilateral is
(type a whole number.)

b. the perimeter of the quadrilateral is
(type a whole number.)

Explanation:

Identify the quadrilateral properties

The given quadrilateral has four right angles, which makes it a rectangle.
The dimensions are:

• Length \(l = 5\text{ ft}\)
• Width \(w = 3\text{ ft}\)

Calculate the area

The area \(A\) of a rectangle is calculated by multiplying its length by its width:

$$ A = l \times w = 5\text{ ft} \times 3\text{ ft} = 15\text{ sq ft} $$

Calculate the perimeter

The perimeter \(P\) of a rectangle is calculated by adding the lengths of all four sides:

$$ P = 2(l + w) = 2(5\text{ ft} + 3\text{ ft}) = 2(8\text{ ft}) = 16\text{ ft} $$

Answer:

Question 1

a. The area of the quadrilateral is <blank>15</blank> <blank>\(\text{sq ft}\)</blank>.

Question 2

b. The perimeter of the quadrilateral is <blank>16</blank> <blank>\(\text{ft}\)</blank>.