Please help with this question!!!

Mathematics

1 answer:

marin [14]3 years ago

7 0

Answer:

length: 12 ft

area: 72 square feet

Step-by-step explanation:

Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...

P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify

12 = L . . . . . . divide by 3

The length of the mat is 12 ft.

The width of the mat is L/2 = 6 ft, and the area is the product of length and width.

Area = (12 ft)(6 ft) = 72 ft^2

The area of the mat is 72 square feet.

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one third of a land is on maize, a fifth of the remainder is on potatoes and the rest which is 0.5 ha is on beans. how much of t

disa [49]

Answer: $1250\ m^2$

Step-by-step explanation:

Let x= Total land.

Then for Maize = $\dfrac{x}{3}$

For Potatoes = $\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x$

For beans = $x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha$

$\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha$