Question

The numerator of a fraction is 8 less than the denominator. If the numerator is increased by 17 and the denominator is decreased by 1, the new fraction obtained is 32. Find the fraction.

Answer 1

Answer:

Option (b) 79.2 cm² is the required area of ∆ ABC .

Step-by-step explanation:

According to the Question

It is given that,

Base of Triangle ,b = 22cm

Height of triangle ,h = 7.2 cm

we have to calculate the area of given triangle .

The area of triangle is calculated by

Area of Triangle = 1/2 × base × height

by putting the value we get

→ Area of ∆ABC = 1/2 × 22 × 7.2

→ Area of ∆ABC = 11 × 7.2

→ Area of ∆ABC = 79.2 cm²

Hence, the area of ∆ABC is 79.2 cm².

Option (b) 79.2 cm² is the required answer .

Additional Information !!

\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}

FormulasofAreas:−

⋆Square=(side)

2

⋆Rectangle=Length×Breadth

⋆Triangle=

2

1

×Breadth×Height

⋆Scalene△=

s(s−a)(s−b)(s−c)

⋆Rhombus=

2

1

×d

1

×d

2

⋆Rhombus=

2

1

d

4a

2

−d

2

⋆Parallelogram=Breadth×Height

⋆Trapezium=

2

1

(a+b)×Height

⋆EquilateralTriangle=

4

3

(side)

2