Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.

The applicable formulas are ...

area of a trapezoid: A = (1/2)(b1 +b2)h

area of a triangle: A = (1/2)bh

So, our areas are ...

AQRS = AWSQE - AWSR - AEQR

= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)

Factoring out 1/2, we have ...

= (1/2)((2+5)·4 -2·2 -5·2)

= (1/2)(28 -4 -10) = 7 . . . . square units

4 0

3 years ago

Please help 60 points!!

Katen [24]

Answer:

The answer to your question is FJ = 18

Step-by-step explanation:

Data

FG = 30

FH = 12

HE = 8

JH ║GE

These triangles are similar, so we can use proportions to find the length of FJ.

$\frac{FJ}{FH} = \frac{FG}{FH + HE}$

Substitution

$\frac{FJ}{12} = \frac{30}{12 + 8}$

Simplification

$\frac{FJ}{12} = \frac{30}{20}$

Solve for FJ

$FJ = 12 \frac{30}{20}$

Result

FJ = 18

4 0

3 years ago

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