Answer:
(3x + 5) (x - 3)
Step-by-step explanation:
This is the quadratic expression
We can subdivide the figure in 3 rectangles A, B, and C, then we can find the area of each rectangle and add all the areas together to find the total area of the picture.
We can conclude that the area of the figure is 379 square units.
Answer:
Shorter leg: 27 cm,
Longer leg: 36 cm,
Hypotenuse: 45 cm.
Step-by-step explanation:
Let x represent longer leg of the triangle.
We have been given that the shorter leg of a right triangle 9 cm is shorter than the longer leg. This means that the shorter leg of right triangle would be cm.
We are told that hypotenuse is 9 cm longer than the longer leg.This means that the hypotenuse of right triangle would be cm.
Now, we will use Pythagoras theorem to solve for x as:
Upon simplifying our equation, we will get:
Using zero product property, we will get:
Since longer side of a right triangle cannot be 0, therefore, longer side of the right triangle is 36 cm.
The shorter side of right triangle would be cm. Therefore, the shorter side of the right triangle would be 27 cm.
The hypotenuse of right triangle would be cm.Therefore, the hypotenuse of the right triangle would be 45 cm.