The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 103 m
2, find
- The length of the square
- The base of the triangle
(a)
Assume the length of the square = 5 m
Area of the square
= 5 x 5
= 25 m
2 Sum of the areas of square and shaded area
= 25 + 103
= 128 m
2 Length of the square = 5 m
(b)
Base of the triangle
= Height of the triangle
= √(128 x 2)
= √(256)
= 16 m
Answer(s): (a) 5m; (b) 16 m