Question

(Bro I'm so confused) In the diagram, PQRS is a square. Points T, U, V, and W are on sides PQ, QR, RS, and ST, respectively, forming square TUVW. If PT=QU=RV=SW=4 m and PQRS has area 256 m squared determine the area of TUVW. (Please I'll mark brainliest and heart if you can help me out ty)

Answer 1

The total area of square TUVW is 160 meters.

Find out the sides of PQRS:

Total area: side x side

256 m = side x side

side =  √ 256

side= 16 m

This means PQ, QR, RS, SP = 16 m

Find out the area of one triangle:

Area: 1/2 x base x height

Let's find out the area of the triangle UVR although all triangles are the same.

Base: 4 meters

Height:

RQ= 16

QU= 4

16-4 = 12

Area: 1/2 x 4 x 12 = 24

Find the total area of the triangles:

24 x 4 = 96

Finally, find out the total area of the grey square:

Total area of the grey square = Total area of the white square - area of the triangles

Total area = 256 - 96

Total area= 160

Learn more about squares in: https://brainly.com/question/13747846