Math Problem Statement
The side of a square is x meters. The midpoints of its sides are joined to form another square whose area is 16 sq. meters. Find the value of x and the area of the portion of the bigger square that is outside the smaller square
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Squares
Area and Perimeter
Diagonals of Squares
Formulas
Area of a square: A = side^2
Diagonal of a square: d = side * √2
Theorems
Pythagoras' Theorem (indirectly for diagonal calculation)
Suitable Grade Level
Grades 8-10