3 years ago

Know the question plz help me

Mathematics

1 answer:

DiKsa [7]3 years ago

3 0

Answer:

The answer is 4 r 1.

Step-by-step explanation:

We kbow that 9 time 4 will get us 36, so that's what we put in the two boxes below the 37. Then, we subtract 36 from 37 and get 1. The one will go in the box below the 36. This means our answer will be 4 r 1. Hope this helps :)

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Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.