Answer:
Step-by-step explanation:
Area of the entire rectangle = height * width
= 4w³ *( 5w²-3w-4)
= 4w³ * 5w²- 4w³ *3w - 4w³ *4
=20w⁵ - 12w⁴ - 16w³
Answer: 33 square units
Step-by-step explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
, where s is the semiperter and a,b and c are the side-lengths of the triangle.
Let a=16 , b=10 and c=8
Then,
![s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7Ba%2Bb%2Bc%7D%7B2%7D%3D%5Cdfrac%7B16%2B10%2B8%7D%7B2%7D%3D17)
Using Heron's formula:-
![\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D%5Csqrt%7B17%2817-16%29%2817-10%29%2817-8%29%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BArea%20of%20triangle%7D%3D%5Csqrt%7B1071%7D%3D32.7261363439%5Capprox33%5Ctext%7B%20square%20units%7D)