Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
13th August, 2025

Calculating Area Rectangle.


Let r be the radius of the half circle and also, the width of the rectangle.


a = r+r

a = 2r units.

a is the diameter of the half circle.


b = (2r-x) units.

b is the length of the rectangle.


c = ½(6)

c = 3 units.


It implies;


r ~ 6

3 ~ (2r-x)


Cross Multiply.


(2r-x)r = 18


Notice.

(2r-x)r is the length times the width of the rectangle (area rectangle).


Therefore;


Area rectangle = 18 square units.

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