How do I find area of this polygon?

Area = 297cm²

Step-by-step explanation:

Let Polygon be ABCDE

Draw a line CE parallel to AB which make right angles at F.

now, CE = AB

also, CF = FE = 22 / 2 = 11cm

and the line drawn from the vertex of the D = 19cm to G on AB.

AE = BC = FG = 8cm

so, FD = 19 - 8 = 11cm

Now the Area.

Area of the polygon = Area of the Rectangle ABCE + 2 x Area of either Triangle

(we need not calculate both the area of triangle as two sides of the triangle is equal)

Area of the Rectangle ABCE = l x b

here l = 22 cm and b = 8cm

= 22 x 8 = 176cm²      ---------------(i)

2 x Area of either Triangle = 2 x 1/2 x b x h

here, b(CF or EF) = 11cm and h(FD) = 11cm

= 11 x 11 = 121cm²        ----------------(ii)

Area of the polygon = Area of the Rectangle ABCE + 2 x Area of either Triangle

From (i) and (ii),

Area = 176 + 121

Area = 297cm²

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!