I have 7 minutes please help

In the picture below, ABCD is a rectangle. If the area of triangle ABE is 40, what is the area of the triangle?

MariettaO [177]

Area of the rectangle: 112

Step-by-step explanation:

Picture is missing: find it in attachment.

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the length of the base

h is the height

For triangle ABE, we know that

A = 40 (area)

h = 8 (height)

So we can find the length of the base AE:

$AE=b=\frac{2A}{h}=\frac{2(40)}{8}=10$

Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:

$AD=AE+DE=10+4=14$

We also know the height of the rectangle AB is 8, and that the area of a rectangle is

$A=bh$

where b is the base and h the height. Therefore, the area of this rectangle is

$A=bh=(AD)(AB)=(14)(8)=112$

Learn more about area of figures:

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#LearnwithBrainly

7 0

3 years ago

Joshua is planning a 1020-mile driving trip. His car gets an average of 30 mpg, and the cost of gas is about $4.06/gallon. What

dolphi86 [110]

30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04

4 0

3 years ago

Read 2 more answers

Translate and simplify the expression the sum of fifteen and a number plus twelve

mr Goodwill [35]

I think it might be 15n + 12 sorry if it’s not

3 0

3 years ago

What is the slope of (8,3) and (-4,-6)?

Nonamiya [84]

Answer: The slope of the line formed by these two points is $\frac{3}{4}$

Step-by-step explanation:

To calculate the slope, we use the formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

For the coordinates given:

$x_1=8\\y_1=3\\x_2=-4\\y_2=-6$

Putting values in above equation, we get:

$Slope=\frac{(-6-3)}{(-4-8)}\\\\Slope=\frac{-9}{-12}\\\\Slope=\frac{3}{4}$

Hence, the slope of the line formed from these two coordinates is $\frac{3}{4}$

8 0

3 years ago

Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write

Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

Use double point formula and simplify it to get two eqaution.
Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.