Question

What is the area of parallelogram RSTU?

Answer 1

Without specific measurements, we cannot calculate the exact area of parallelogram RSTU, but generally, it is found using the formula Area = base × height, expressed in square units.

Step-by-step explanation:

To find the area of parallelogram RSTU, we first need specific information about the measurements of the parallelogram, such as base and height or the lengths of the sides and the angles between them. However, without the numerical values or a diagram provided, we cannot calculate the exact area. In general, the area of a parallelogram is calculated using the formula Area = base × height. The base is any side length of the parallelogram, and the height is the perpendicular distance from the base to the opposite side (not the side length).

To understand this concept with an example, let's assume a parallelogram has a base of 5 units and a height of 3 units. The area would then be calculated as 5 units (base) × 3 units (height) = 15 square units.

It's essential to remember that the area is always expressed in square units, corresponding to the square of the unit of length used in the measurements of the base and height.

Answer 2

the answer
to find the area of this parallelogram, first, we must find the value of its length and width

The area can be found with the formula A = L x W
L = length
W= width
according to the image, the dimensions are L =UT and W= UR

vector UT = (6,2) and vector UT= (-4,4)

so L= length of vector UT = sqrt (6²+2²)=sqrt(40) =2 √10

and W= length of vector UR= sqrt(4²+4²)=sqrt(32) =4√2