The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x+4) cm and PS = x cm. (r+3) cm (2x+5)cm (x+4)cm For one value of x, the area of rectangle ABCD is 59 cm2 more than the area of rectangle PQRS. Show that x² +7x- 44 = 0.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3)
cm, PQ = (x + 4) cm and PS
=X cm.
(x+ 3) cm
(20 5)cm
(x+4)cm
For one value of x, the area of rectangle ABCD is 59 cm2 more than the area of
rectangle PQRS. Show that x² +7x- 44 = 0.
Transcribed Image Text:The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x + 4) cm and PS =X cm. (x+ 3) cm (20 5)cm (x+4)cm For one value of x, the area of rectangle ABCD is 59 cm2 more than the area of rectangle PQRS. Show that x² +7x- 44 = 0.
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