240+140+168+96
380+264
644 cm^2
Answer:
Width = 5 inches
Length = 9 inches
Step-by-step explanation:
The paper;
Length = (x + 4) inches
Width = x inches
The area is close as possible to 50 square inches.
Since this paper is rectangular in shape; the area of a rectangle is given by:
Area = Length × Width
∴ (x + 4) * x = 50 square inches
x² + 4x = 50
Let the area be equal to 45 square inches;
Applying the quadratic formula, x = 5 or -9
But since we are dealing with length measurements, the value of x = 5 inches.
So the width = 5 inches and;
length = 5 + 4 = 9 inches.
Answer:
Option (A)
Step-by-step explanation:
By the characteristics of a quadrilateral given in the question,
1). All four sides are congruent.
It may be Square, Rhombus
2). Both the pairs of opposite sides are parallel.
It may be Parallelogram, Rhombus.
3). Diagonals are perpendicular.
It may be Rhombus, Rectangle, Square.
Since all three characteristics define the properties of a Rhombus,
The given quadrilateral matches with a rhombus.
Therefore, Option (A) will be the answer.
The first thing you should do is use the fact that the area of the triangle is:
A = b * h * (1/2).
From there you clear the height as a function of "c"
Then you will have a polynomial division which you must make to find the height of the triangle.
I attach the solution.
