I need help with my homework! please someone help me out with this.

[pallid ocean]

I need help! Its gonna be holidays and I have so much work to do! I'm in a hurry with time can someone help please?

1)On a square plot of land with a side length of 6m, one side was extended. Find the perimeter of the new piece of land if it is known that the area of the piece of land has increased by 18m² as a result.

2. Calculate the area of the triangle if a = 8 cm, b = 6 cm, c = 6 cm. Round the answer to a whole number

3)The side of a rectangle is 6.7 cm and the angle between the diagonal and the same side is 35°. Find the area of the rectangle.

a. 36,85 cm²

b. 37,5 cm²

c. 25,46 cm²

d. 65 cm²

And. 31.49 cm²

4)The diagonals of the rhombus are 16.2 cm and 6.4 cm.

Calculate the area of the rhombus

5)The length of the side of the square increases by 20%. By what percent does the area of the square increase?

a. 25%

b. 60%

c. 22%

d. 12%

It is. 20%

f. 30%

g. 44%

h. 40%

6)A triangle with side lengths of 12.5 cm, 8.4 cm, and 16.3 cm has the first side increased by 2 cm, the second side increased by 50%, and the third side decreased by 5 cm. Use Heron's area formula to calculate the area of a triangle. Round your answers to the nearest tenth and use a comma, not a period.

The area of the original triangle is

cm², the area of the triangle with modified sides is

cm². By what percentage did the area of the triangle change? The change in the area of the triangle

%

7. The side of a rectangle is 6.7 cm and the angle between the diagonal and the same side is 35º. Find the other side of the rectangle

a. 4,7 cm

b. 3,8 cm

c. 5,5 cm

d. 11,7 cm

And. 9.6cm

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[pallid ocean]

8)1. The bases of a right-angled trapezoid differ from each other by 4 cm, and the acute angle of the trapezoid is 65°. Find the perimeter and area of a trapezoid if it is known that the shorter base of the trapezoid is 20% longer than the height of the trapezoid. Round your answers to the nearest tenth and use a decimal point. The perimeter of the trapezoid is

cm and the area of the trapezoid is

cm²

9)The lengths of the diagonals of a rhombus are two consecutive even numbers. Find the area of the rhombus if it is known that the sum of the diagonals of the rhombus is 34 dm.

10)The diagonals of the rhombus are 16.2 cm and 6.4 cm. Calculate the perimeter of the rhombus (round to the nearest tenth)

Answer:

11. An isosceles trapezoid has a height of 6.7 cm and a span of 12.3 cm. Find the area of the trapezoid if it is known that the longer base of the trapezoid is 33 cm

a. 151,7 cm²

b. 186,6 cm²

c. 179,6 cm²

d. 152,1 cm²

And. 373.2 cm²
12) An isosceles trapezoid has an acute angle of 53° and bases of 18 cm and 12 cm. Calculate the perimeter P of the trapezoid

Answer:
13) . The side of the rhombus and one of the diagonals are related as 13: 24. Find the perimeter of the rhombus if it is known that the second diagonal of the rhombus is 40 dm
14) A plot in the shape of a right-angled trapezoid with bases of 82 m and 40 m was divided into two parts in such a way that one square-shaped and one right-angled triangle-shaped plot of land were obtained. Calculate the area of both plots of land. The area of a square piece of land is

m² and the area of the triangular plot is

m²

15. The base of an isosceles triangle is 4 cm and the base angle is 45°. Calculate the area of this triangle. Round the answer to a whole number

a. 20 cm²

b. 22 cm²

c. 19 cm²

d. 17 cm²

And. 18 cm²

f. 8 cm²

g. 14 cm²

h. 16 cm²

16. The height of an equilateral triangle is 18.3 cm. Find the perimeter and area of the triangle. Round the answer to the nearest tenth and use a decimal point! The perimeter of the triangle is

cm² and the perimeter of the triangle is

cm

17. A parallelogram with a side of 4.2 cm and a diagonal of 6.7 cm has a right angle.

Find the area of this parallelogram

a. 44,89 cm²

b. 17,64 cm²

c. 16,59 cm²

d. 24,2 cm²

And. 52.93 cm²

f. 33,18 cm²

g. 28,14 cm²

h. 24,14 cm²

18)The length of one side of the rectangle increases by 15% and the length of the other side decreases by 30%. By what percent does the area of the rectangle increase or decrease?

a. increases by 0.5%

b. decreases by 15.5%

c. decreases by 16.5%

d. decreases by 19.5%

e. decreases by 22%

f. decreases by 18%

g. decreases by 15%

h. decreases by 10%

19. The side of the rhombus is 8.7 cm and one diagonal of the rhombus is 6.4 cm. Find the area of the rhombus

Answer: