A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

B. 137.32 cm3

Step-by-step explanation:

So what we know is that

Height = 12

Diameter is 6 which would make the radius 3.

The current volume is 339.12

12cm × 1.12 = 12.44 (This is the new height.)

3cm × 1.12 = 3.36 9 (This is the new radius)

Volume of future can (V2) = πr²h = 3.14 × 3.36 ×3.36 × 13.44 = 476.43

Then you would subtract  476.43(new volume) - 339.12(old volume) = 137.31

That would round to 137.32 cm3.

So the answer is B. 137.32 cm3.