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Mathematics

2 answers:

balandron [24]3 years ago

8 0

Answer:

164 inches

Step-by-step explanation:

A=2(wl+hl+hw)

you subsitute your l width and height

2(3(10)+4(10)+4(3))

2(30+40+12)

2(82) gets you to 164 inches squared

sdas [7]3 years ago

3 0

Answer:

164

Step-by-step explanation:

You need to find the area of all sides of the figure.

i first found the front side of the rectangle.

10*4=40 but since there are two of the same shapes, you have to multiply it by two which gives you 80. then you do the same on the top and bottom of the figure.

3*4=12*2=24

10*3=30*2=60

60+24+80=164

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8. A right triangle has a perimeter of 60 cm. The legs have a ratio of 5:12. The hypotenuse is twice the

lakkis [162]

Answer:

a=24

b=10

c=26

Step-by-step explanation:

Perimeter is the sum of the sides ( $a+b+c=60$ )

The legs (a and b) have a ratio of 5:12, which means that $5a=12b$ , which can be simplified to $\frac{5}{12} a=b$ , where b will be the smaller leg.

The hypotenuse will be double the smallest leg, 2b, increased by 6 meters, giving us an equation of $c=2b+6$

Let's plug these in to get one variable:

$a+b+c=60\\a+b+2b+6=60\\a+\frac{5}{12}a+2(\frac{5}{12}a)+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a=54\\\frac{27a}{12}=54\\27a=648\\a=24$