Question

a rectangle has a height of 5 and a width of $x^2 + 2$. express the area of the entire rectangle. expression should be expanded. area =

Explanation:

Step1: Recall rectangle area formula

Area = height $\times$ width

Step2: Substitute given values

$\text{Area} = 5 \times (x^2 + 2)$

Step3: Apply distributive property

$\text{Area} = 5\times x^2 + 5\times2$

Step4: Simplify the products

$\text{Area} = 5x^2 + 10$

Answer:

$5x^2 + 10$