Question

the expression for the area of the rectangle is:
the dimensions of the rectangle are:
length =
width =
the expression for the perimeter of the rectangle is:

Explanation:

Step1: Identify rectangle dimensions

From the diagram, length = $10x$, width = $4x$

Step2: Calculate area formula

Area of rectangle = length $\times$ width
$\text{Area} = 10x \times 4x = 40x^2$

Step3: Calculate perimeter formula

Perimeter of rectangle = $2\times(\text{length} + \text{width})$
$\text{Perimeter} = 2\times(10x + 4x) = 2\times14x = 28x$

Answer:

The dimensions of the rectangle are:
length = $10x$
width = $4x$
The expression for the area of the rectangle is: $40x^2$
The expression for the perimeter of the rectangle is: $28x$