What measurements would you need to find the area of a regular hexagon? Class 8

What measurements would you need to find the area of a regular hexagon? Class 8

Question 1.

What measurements would you need to find the area of a regular hexagon? Class 8

Solution:

We shall need the length of each side of the hexagon. It will divided into six congruent equilateral triangles of side equal to side of the hexagon.

Question 2.

What fraction of the total area of the rectangle is the area of the blue region? Class 8

Solution:

Through P, draw QR || AB. Then, it will be parallel to CD also.

Now, area of ∆PAB = [latex]\frac{1}{2}[/latex] area of rectangle

ABQR and area of ∆PCD = [latex]\frac{1}{2}[/latex] area of rectangle QRCD.

So, area of blue region = [latex]\frac{1}{2}[/latex] area of ∆PAB + area of ∆PCD = [latex]\frac{1}{2}[/latex] area of rectangle ABCD.

So, area of the blue region = [latex]\frac{1}{2}[/latex] of the area of the rectangle.