Question

WILL RATE BRAINLIEST PLZ HELP MUST EXPLAIN THO

Answer 1

Answer:

• A -- base 3, height 4
• B -- base 4, height 4
• C -- base 3, height 3
• D -- base 3, height 5

Step-by-step explanation:

A sort of straightforward way to approach this is to define base and height variables for each of the figures: ba, ha, bb, hb, bc, hc, bd, hd. Then the statements can be used to make equations in these variables.

0. hc = bc . . . . figure C is a square

1. ba = bd

2. ba = bb -1

3. hc = ba

4. hb = ha = bb

5. hc·bc = 9

6. (1/2)ha·ba +(1/2)hb·bb +hc·bc+hd·bd = 38

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Using equations 0 and 5, we find ...

  hc² = 9   ⇒   hc = 3

From equation 3, ...

  ba = 3

From equation 2, ...

  3 = bb -1   ⇒   bb = 4

From equation 1, ...

  bd = 3

From equation 4, ...

  ha = hb = 4

Filling in the values we know in equation 6, we get ...

  (1/2)(4)(3) +(1/2)(4)(4) +9 +hd(3) = 38

  23 +3hd = 38

  hd = 15/3 = 5

The dimensions are:

• A -- base 3, height 4
• B -- base 4, height 4
• C -- base 3, height 3
• D -- base 3, height 5