Chapter 11, Problem 8RP

To determine

To calculate:Thecost ofkiteABCD .

Answer to Problem 8RP

The cost of kite ABCDis $67.5¢$ .

Explanation of Solution

Given information:

In kiteABCD ,

Side AC = $90cm$ ,

Side BD = $50cm$ .

Sticks and glue are given as gifts to make kite.

Cost of paper per square decimeter $=3¢$

Formula used:

Area of Kite $=\frac{1}{2}(d_1\times d_2)$

d = diagonal of kite

Calculation:

  

Since 10 cm equals one decimeter, the length of the sticks J has are 9 dm and 5 dm long.

Area of Kite ABCD $=\frac{1}{2}(d_1\times d_2)$

  $\begin{array}{l}A=\frac{1}{2}(AC\times BD)\\ A=\frac{1}{2}(9\times 5)\\ A=22.5d{m}^2\end{array}$

Total cost is equal to product of area of kite and amount per square decimeter.

Cost of paper per square decimeter $=3¢$

Total cost = $A(ABCD)\times$ Amount per square decimeter

Total cost = $22.5\times 3$

Total cost $=67.5¢$