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3 years ago

Find the area and perimeter

Mathematics

1 answer:

spin [16.1K]3 years ago

3 0

Answer:

area (A) =(9x+108)unit^2

perimeter (P) =(2x+42) units

Step-by-step explanation:

area(A) =length(l) × breadth(b)

perimeter(P) =2(l+ b) {which is sum of all sides}

so, l = 7+x+5 = (x+12) units and b = 9 units

now, A=(x+12) × 9 units^2

=(9×x + 12×9 ) units^2

Therefore,

A =(9x+108)unit^2

next, P=2{(x+12)+9}

=2(x+21)

Hence,

P=(2x+42) units

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3 years ago

If f(x) = 5x + 40, what is f(x) when x = -5?

Makovka662 [10]

Answer:

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3 years ago

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley

Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, $P=48\textrm{ m}$

Length is 5 times the width.

Let width be $x$ .

So, as per question,

Length, $l = 5x$

Now, perimeter of rectangle is given as:

$P=2(l+b)$

Plug in 48 for $P$ , $5x$ for $l$ and $x$ for b.

$48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4$

Therefore, width is 4 m.

Length is $5x=5\times 4=20$ m.

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3 years ago

Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $186 in tips for a total

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3 years ago

Read 2 more answers

Given that the measure of X is 57° and the measure of y is 51° find the measure of z

avanturin [10]

9514 1404 393

Answer:

132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

∠z = 72° +60°

∠z = 132°

_____

<em>Additional comment</em>

The relations we used are ...

vertical angles are congruent
sum of angles in a triangle is 180°
an exterior angle is equal to the sum of the remote interior angles

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3 years ago