If one side of a rectangle is five less than the other side and the perimeter is 90 inches, find the area of the rectangle.

1 answer:

7 0

So given a rectangle
sides are
_<u>x</u>_
x-5|__|x-5
x

the perimeter is 90 inches
perimeter is
x + x + (x-5) + (x-5) = 90
combine like terms
2x + 2(x-5) = 90
distribute
2x + 2x-10 = 90
combine like terms
4x - 10 = 90
add 10 to both sides
4x= 100
divide both sides by 4
x = 25

now to find the length of a side
x is 25
and x-5 is 20

to check and see if that's right:
25 + 25 + 20 + 20 =?= 90
50 + 40 =?=
90 = 90

Now to find the area
A = b * h
so
x * (x-5)
substitute
25* 20
500
The area of the rectangle is 500

Hope this helps :)

You might be interested in

When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard devia

alukav5142 [94]

Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

3 0

4 years ago

How do you find the rule given a sequence of numbers?

beks73 [17]

It depends on the sequence type.

if it's a regular sequence with a first common difference, you can use the formula a+d(n-1). here, "a" is the first term, "d" is the common difference and "n" is the term number.

8 0

3 years ago

Evaluate 252.7 - 19.

earnstyle [38]

Answer: 233.7

Step-by-step explanation:

8 0

4 years ago

Jeremy can row 3 miles in 12 hours. How long will it take him to row 1 mile

Zarrin [17]

By using division, it can be calculated that

Jeremy can row 1 mile in 4 hours

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on division

Jeremy can row 3 miles in 12 hours

Jeremy can row 1 mile in $12 \div 3$ = 4 hours