All categories

2 years ago

The perimeter of a rectangle is 40 inches. if its length is three times its width, find the dimensions.'

1 answer:

4 0

The perimeter of a rectangle could be determined using
$\boxed{p = 2(l+w)}$

From the question above, we could draw informations
p = 40 inches
l = 3w

plug in the info to the perimeter formula
p = 2(l + w)
40 = 2(3w + w)
40 = 2(4w)
40 = 8w
w = 40/8
w = 5

l = 3w
l = 3(5)
l = 15

The dimension:
l = 15 in
w = 5 in

You might be interested in

Write the expression 7b-3(b-1) in simplest form

Anna007 [38]

4b-3 .. you use distributive property and multiply 3*b-1 then you have 7b-3b-3 then you combine like terms and subtract 3b from 7b and get 4b-3

8 0

3 years ago

Read 2 more answers

A basket contains 12 apples and some other fruit. Write an equation that could be used to find the total number of fruits in the

o-na [289]

A basket contains 12 apples and some other fruit
40% of the total fruit are apples...so 40% of the total fruit is 12..

0.40x = 12....with x being the total fruit in the basket <== ur equation
x = 12 / 0.40
x = 30....and u have 30 pieces of fruit in the basket

7 0

2 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

2 years ago

How to figure out 5 - 0.53

sveta [45]

the answer would be 4.47

because every whole number is made out of 100 small parts.

So that would be like 400-53 which is 447 and then add the decimal point. That would make it 4.47

4 0

3 years ago

A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangl

Brilliant_brown [7]

$\sf are a \ of \ triangle : \frac{1}{2}*base *height$

$\sf are a \ of \ rectangle : Length * Width$

total area :

$\sf are a \ of \ rectangle + area \ of \ triangle$

$\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10$

$\rightarrow \sf 132.5 \ in^2$

5 0

1 year ago