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The area of the second triangle is 200 square unit.
Given:
the area of the first triangle, A = 8 square unit
let the base of the first triangle = b
let the height of the first triangle = h
then, base of the second triangle = 5b
height of the second triangle = 5h
To find:
the area of the second triangle
The area of the first triangle is given as;
[tex]A = \frac{bh}{2} \\\\2A = bh\\\\2(8) = bh\\\\16 = bh ---- (1)[/tex]
The area of the second triangle is calculated as;
[tex]A = \frac{5b \times 5h}{2} \\\\A = \frac{25bh}{2} \\\\recall, bh = 16\\\\A = \frac{25 \times 16}{2} \\\\A = 200 \ unit^2[/tex]
Thus, the area of the second triangle is 200 square unit.
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