Question

I need help finding the area of the triangle plz. sorry I don't understand fractions that much

Answer 1

`24(4)/(15)\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2`

Explanation:

Area of right triangle formula is

`A=(ab)/(2) \\(5(3)/(5)\cdot \:8(2)/(3))/(2)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5(3)/(5)=(28)/(5)\\((28)/(5)\cdot \:8(2)/(3))/(2)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8(2)/(3)=(26)/(3)\\((28)/(5)\cdot (26)/(3))/(2)\\\mathrm{Multiply\:}(28)/(5)\cdot (26)/(3)\::\quad (728)/(15)\\=((728)/(15))/(2)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad ((b)/(c))/(a)=(b)/(c\:\cdot \:a)\\=(728)/(15\cdot \:2)\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=(728)/(30)\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=(364)/(15)\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (364)/(15)=24(4)/(15)\\=24(4)/(15)\\\mathrm{Decimal:\quad }\:24.26666`