Question

Garbage is placed in a triangular shape as shown in the image below. Find the area of the garbage.

• A. $1.26\times {10}^6\text{sq inches}$
• B. $1.26\times {10}^5\text{sq inches}$
• C. $1.26\times {10}^1\text{sq inches}$
• D. $1.26\times {10}^4\text{sq inches}$

Answer 1

The correct option is B $1.26\times {10}^5\text{sq inches}$

Given:
Height of triangular garbage
$=5.6\times {10}^3\text{inches}$

Base of triangular garbage
$=4.5\times {10}^4\text{inches}$

$Area=\frac{1}{2}\times Base\times Height$

$=\frac{1}{2}\times (4.5\times {10}^4)\times (5.6\times {10}^3)$

$=\frac{1}{2}\times (45\times {10}^3)\times (5.6\times {10}^3)$

$=\frac{1}{2}\times (45\times 5.6)\times {10}^3$

$=\frac{1}{2}\times 252\times {10}^3$

$=126\times {10}^3$

$=1.26\times {10}^5\text{sq inches}$